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Finding the Fourth Proportional to 257,411.60, 386,117.40 and 146,819.60

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Solution

The fourth proportional to 257,411.60, 386,117.40 and 146,819.60 is: 220,229.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,411.60 : 386,117.40 = 146,819.60 : x
  2. Step 2: Convert to fraction form
    257,411.60/386,117.40 = 146,819.60/x
  3. Step 3: Cross multiply
    257,411.60x = 386,117.40 × 146,819.60
  4. Step 4: Simplify right side
    257,411.60x = 56,689,602,221.04
  5. Step 5: Solve for x
    x = 56,689,602,221.04/257,411.60
  6. Step 6: Final answer
    x = 220,229.40

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1.5x scale

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.