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Finding the Fourth Proportional to 509,806.80, 764,710.20 and 433,699.20

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Solution

The fourth proportional to 509,806.80, 764,710.20 and 433,699.20 is: 650,548.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,806.80 : 764,710.20 = 433,699.20 : x
  2. Step 2: Convert to fraction form
    509,806.80/764,710.20 = 433,699.20/x
  3. Step 3: Cross multiply
    509,806.80x = 764,710.20 × 433,699.20
  4. Step 4: Simplify right side
    509,806.80x = 331,654,201,971.84
  5. Step 5: Solve for x
    x = 331,654,201,971.84/509,806.80
  6. Step 6: Final answer
    x = 650,548.80

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.