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Finding the Fourth Proportional to 532,411.57, 734,641.31 and 314,589.96

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Solution

The fourth proportional to 532,411.57, 734,641.31 and 314,589.96 is: 434,082.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,411.57 : 734,641.31 = 314,589.96 : x
  2. Step 2: Convert to fraction form
    532,411.57/734,641.31 = 314,589.96/x
  3. Step 3: Cross multiply
    532,411.57x = 734,641.31 × 314,589.96
  4. Step 4: Simplify right side
    532,411.57x = 231,110,775,999.39
  5. Step 5: Solve for x
    x = 231,110,775,999.39/532,411.57
  6. Step 6: Final answer
    x = 434,082.93

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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.