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Finding the Fourth Proportional to 280,294.17, 386,800.56 and 152,970.68

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Solution

The fourth proportional to 280,294.17, 386,800.56 and 152,970.68 is: 211,096.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,294.17 : 386,800.56 = 152,970.68 : x
  2. Step 2: Convert to fraction form
    280,294.17/386,800.56 = 152,970.68/x
  3. Step 3: Cross multiply
    280,294.17x = 386,800.56 × 152,970.68
  4. Step 4: Simplify right side
    280,294.17x = 59,169,142,753.58
  5. Step 5: Solve for x
    x = 59,169,142,753.58/280,294.17
  6. Step 6: Final answer
    x = 211,096.59

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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.