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Finding the Fourth Proportional to 278,416.74, 417,671.28 and 91,384.50

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Solution

The fourth proportional to 278,416.74, 417,671.28 and 91,384.50 is: 137,091.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,416.74 : 417,671.28 = 91,384.50 : x
  2. Step 2: Convert to fraction form
    278,416.74/417,671.28 = 91,384.50/x
  3. Step 3: Cross multiply
    278,416.74x = 417,671.28 × 91,384.50
  4. Step 4: Simplify right side
    278,416.74x = 38,168,681,087.16
  5. Step 5: Solve for x
    x = 38,168,681,087.16/278,416.74
  6. Step 6: Final answer
    x = 137,091.90

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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.