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Finding the Fourth Proportional to 754,507.68, 1,041,223.68 and 414,997.44

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Solution

The fourth proportional to 754,507.68, 1,041,223.68 and 414,997.44 is: 572,698.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,507.68 : 1,041,223.68 = 414,997.44 : x
  2. Step 2: Convert to fraction form
    754,507.68/1,041,223.68 = 414,997.44/x
  3. Step 3: Cross multiply
    754,507.68x = 1,041,223.68 × 414,997.44
  4. Step 4: Simplify right side
    754,507.68x = 432,105,161,667.38
  5. Step 5: Solve for x
    x = 432,105,161,667.38/754,507.68
  6. Step 6: Final answer
    x = 572,698.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.