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Finding the Fourth Proportional to 689,591.76, 951,415.11 and 417,572.70

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Solution

The fourth proportional to 689,591.76, 951,415.11 and 417,572.70 is: 576,116.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,591.76 : 951,415.11 = 417,572.70 : x
  2. Step 2: Convert to fraction form
    689,591.76/951,415.11 = 417,572.70/x
  3. Step 3: Cross multiply
    689,591.76x = 951,415.11 × 417,572.70
  4. Step 4: Simplify right side
    689,591.76x = 397,284,976,303.50
  5. Step 5: Solve for x
    x = 397,284,976,303.50/689,591.76
  6. Step 6: Final answer
    x = 576,116.19

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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.