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Finding the Fourth Proportional to 754,140, 1,040,737.52 and 414,632.80

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Solution

The fourth proportional to 754,140, 1,040,737.52 and 414,632.80 is: 572,206.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,140 : 1,040,737.52 = 414,632.80 : x
  2. Step 2: Convert to fraction form
    754,140/1,040,737.52 = 414,632.80/x
  3. Step 3: Cross multiply
    754,140x = 1,040,737.52 × 414,632.80
  4. Step 4: Simplify right side
    754,140x = 431,523,911,982.66
  5. Step 5: Solve for x
    x = 431,523,911,982.66/754,140
  6. Step 6: Final answer
    x = 572,206.64

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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.