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Finding the Fourth Proportional to 502,188.64, 753,398.88 and 147,230.08

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Solution

The fourth proportional to 502,188.64, 753,398.88 and 147,230.08 is: 220,879.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,188.64 : 753,398.88 = 147,230.08 : x
  2. Step 2: Convert to fraction form
    502,188.64/753,398.88 = 147,230.08/x
  3. Step 3: Cross multiply
    502,188.64x = 753,398.88 × 147,230.08
  4. Step 4: Simplify right side
    502,188.64x = 110,922,977,374.31
  5. Step 5: Solve for x
    x = 110,922,977,374.31/502,188.64
  6. Step 6: Final answer
    x = 220,879.11

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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.