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Finding the Fourth Proportional to 532,308.92, 734,602.77 and 290,607.14

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Solution

The fourth proportional to 532,308.92, 734,602.77 and 290,607.14 is: 401,046.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,308.92 : 734,602.77 = 290,607.14 : x
  2. Step 2: Convert to fraction form
    532,308.92/734,602.77 = 290,607.14/x
  3. Step 3: Cross multiply
    532,308.92x = 734,602.77 × 290,607.14
  4. Step 4: Simplify right side
    532,308.92x = 213,480,811,862.29
  5. Step 5: Solve for x
    x = 213,480,811,862.29/532,308.92
  6. Step 6: Final answer
    x = 401,046.85

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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.