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Finding the Fourth Proportional to 257,586.90, 386,200.35 and 152,351.70

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Solution

The fourth proportional to 257,586.90, 386,200.35 and 152,351.70 is: 228,421.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,586.90 : 386,200.35 = 152,351.70 : x
  2. Step 2: Convert to fraction form
    257,586.90/386,200.35 = 152,351.70/x
  3. Step 3: Cross multiply
    257,586.90x = 386,200.35 × 152,351.70
  4. Step 4: Simplify right side
    257,586.90x = 58,838,279,863.10
  5. Step 5: Solve for x
    x = 58,838,279,863.10/257,586.90
  6. Step 6: Final answer
    x = 228,421.09

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