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Finding the Fourth Proportional to 509,712.80, 764,722.80 and 362,256.80

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Solution

The fourth proportional to 509,712.80, 764,722.80 and 362,256.80 is: 543,494.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,712.80 : 764,722.80 = 362,256.80 : x
  2. Step 2: Convert to fraction form
    509,712.80/764,722.80 = 362,256.80/x
  3. Step 3: Cross multiply
    509,712.80x = 764,722.80 × 362,256.80
  4. Step 4: Simplify right side
    509,712.80x = 277,026,034,415.04
  5. Step 5: Solve for x
    x = 277,026,034,415.04/509,712.80
  6. Step 6: Final answer
    x = 543,494.36

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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.