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Finding the Fourth Proportional to 532,411.98, 734,641.87 and 314,590.36

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Solution

The fourth proportional to 532,411.98, 734,641.87 and 314,590.36 is: 434,083.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,411.98 : 734,641.87 = 314,590.36 : x
  2. Step 2: Convert to fraction form
    532,411.98/734,641.87 = 314,590.36/x
  3. Step 3: Cross multiply
    532,411.98x = 734,641.87 × 314,590.36
  4. Step 4: Simplify right side
    532,411.98x = 231,111,248,781.42
  5. Step 5: Solve for x
    x = 231,111,248,781.42/532,411.98
  6. Step 6: Final answer
    x = 434,083.49

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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.