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Finding the Fourth Proportional to 532,102.86, 734,317.50 and 290,400.95

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Solution

The fourth proportional to 532,102.86, 734,317.50 and 290,400.95 is: 400,761.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,102.86 : 734,317.50 = 290,400.95 : x
  2. Step 2: Convert to fraction form
    532,102.86/734,317.50 = 290,400.95/x
  3. Step 3: Cross multiply
    532,102.86x = 734,317.50 × 290,400.95
  4. Step 4: Simplify right side
    532,102.86x = 213,246,495,930.04
  5. Step 5: Solve for x
    x = 213,246,495,930.04/532,102.86
  6. Step 6: Final answer
    x = 400,761.79

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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.