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Finding the Fourth Proportional to 397,117.76, 595,671.44 and 97,600.95

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Solution

The fourth proportional to 397,117.76, 595,671.44 and 97,600.95 is: 146,400.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,117.76 : 595,671.44 = 97,600.95 : x
  2. Step 2: Convert to fraction form
    397,117.76/595,671.44 = 97,600.95/x
  3. Step 3: Cross multiply
    397,117.76x = 595,671.44 × 97,600.95
  4. Step 4: Simplify right side
    397,117.76x = 58,138,097,943.86
  5. Step 5: Solve for x
    x = 58,138,097,943.86/397,117.76
  6. Step 6: Final answer
    x = 146,400.15

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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.