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Finding the Fourth Proportional to 189,593.80, 284,390.70 and 56,470.59

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Solution

The fourth proportional to 189,593.80, 284,390.70 and 56,470.59 is: 84,705.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,593.80 : 284,390.70 = 56,470.59 : x
  2. Step 2: Convert to fraction form
    189,593.80/284,390.70 = 56,470.59/x
  3. Step 3: Cross multiply
    189,593.80x = 284,390.70 × 56,470.59
  4. Step 4: Simplify right side
    189,593.80x = 16,059,711,474.21
  5. Step 5: Solve for x
    x = 16,059,711,474.21/189,593.80
  6. Step 6: Final answer
    x = 84,705.89

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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.