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Finding the Fourth Proportional to 754,431.74, 1,041,095.02 and 414,900

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Solution

The fourth proportional to 754,431.74, 1,041,095.02 and 414,900 is: 572,550.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,431.74 : 1,041,095.02 = 414,900 : x
  2. Step 2: Convert to fraction form
    754,431.74/1,041,095.02 = 414,900/x
  3. Step 3: Cross multiply
    754,431.74x = 1,041,095.02 × 414,900
  4. Step 4: Simplify right side
    754,431.74x = 431,950,323,798
  5. Step 5: Solve for x
    x = 431,950,323,798/754,431.74
  6. Step 6: Final answer
    x = 572,550.57

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