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Finding the Fourth Proportional to 532,412.73, 734,642.90 and 314,591.11

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Solution

The fourth proportional to 532,412.73, 734,642.90 and 314,591.11 is: 434,084.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,412.73 : 734,642.90 = 314,591.11 : x
  2. Step 2: Convert to fraction form
    532,412.73/734,642.90 = 314,591.11/x
  3. Step 3: Cross multiply
    532,412.73x = 734,642.90 × 314,591.11
  4. Step 4: Simplify right side
    532,412.73x = 231,112,125,364.62
  5. Step 5: Solve for x
    x = 231,112,125,364.62/532,412.73
  6. Step 6: Final answer
    x = 434,084.52

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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.