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Finding the Fourth Proportional to 509,968.70, 764,953.05 and 421,322.30

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Solution

The fourth proportional to 509,968.70, 764,953.05 and 421,322.30 is: 631,983.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,968.70 : 764,953.05 = 421,322.30 : x
  2. Step 2: Convert to fraction form
    509,968.70/764,953.05 = 421,322.30/x
  3. Step 3: Cross multiply
    509,968.70x = 764,953.05 × 421,322.30
  4. Step 4: Simplify right side
    509,968.70x = 322,291,778,418.02
  5. Step 5: Solve for x
    x = 322,291,778,418.02/509,968.70
  6. Step 6: Final answer
    x = 631,983.45

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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.