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Finding the Fourth Proportional to 278,312.57, 384,059.57 and 157,455.92

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Solution

The fourth proportional to 278,312.57, 384,059.57 and 157,455.92 is: 217,282.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,312.57 : 384,059.57 = 157,455.92 : x
  2. Step 2: Convert to fraction form
    278,312.57/384,059.57 = 157,455.92/x
  3. Step 3: Cross multiply
    278,312.57x = 384,059.57 × 157,455.92
  4. Step 4: Simplify right side
    278,312.57x = 60,472,450,221.58
  5. Step 5: Solve for x
    x = 60,472,450,221.58/278,312.57
  6. Step 6: Final answer
    x = 217,282.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.