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Finding the Fourth Proportional to 502,532.64, 753,237.36 and 217,894.32

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Solution

The fourth proportional to 502,532.64, 753,237.36 and 217,894.32 is: 326,597.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,532.64 : 753,237.36 = 217,894.32 : x
  2. Step 2: Convert to fraction form
    502,532.64/753,237.36 = 217,894.32/x
  3. Step 3: Cross multiply
    502,532.64x = 753,237.36 × 217,894.32
  4. Step 4: Simplify right side
    502,532.64x = 164,126,142,355.80
  5. Step 5: Solve for x
    x = 164,126,142,355.80/502,532.64
  6. Step 6: Final answer
    x = 326,597.97

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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.