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Finding the Fourth Proportional to 502,135.83, 753,331.23 and 232,458.39

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Solution

The fourth proportional to 502,135.83, 753,331.23 and 232,458.39 is: 348,746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,135.83 : 753,331.23 = 232,458.39 : x
  2. Step 2: Convert to fraction form
    502,135.83/753,331.23 = 232,458.39/x
  3. Step 3: Cross multiply
    502,135.83x = 753,331.23 × 232,458.39
  4. Step 4: Simplify right side
    502,135.83x = 175,118,164,862.52
  5. Step 5: Solve for x
    x = 175,118,164,862.52/502,135.83
  6. Step 6: Final answer
    x = 348,746.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.