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Finding the Fourth Proportional to 389,347.56, 583,770.24 and 152,714.16

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Solution

The fourth proportional to 389,347.56, 583,770.24 and 152,714.16 is: 228,972.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,347.56 : 583,770.24 = 152,714.16 : x
  2. Step 2: Convert to fraction form
    389,347.56/583,770.24 = 152,714.16/x
  3. Step 3: Cross multiply
    389,347.56x = 583,770.24 × 152,714.16
  4. Step 4: Simplify right side
    389,347.56x = 89,149,981,834.60
  5. Step 5: Solve for x
    x = 89,149,981,834.60/389,347.56
  6. Step 6: Final answer
    x = 228,972.75

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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.