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Finding the Fourth Proportional to 416,981.76, 625,472.64 and 101,435.93

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Solution

The fourth proportional to 416,981.76, 625,472.64 and 101,435.93 is: 152,153.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,981.76 : 625,472.64 = 101,435.93 : x
  2. Step 2: Convert to fraction form
    416,981.76/625,472.64 = 101,435.93/x
  3. Step 3: Cross multiply
    416,981.76x = 625,472.64 × 101,435.93
  4. Step 4: Simplify right side
    416,981.76x = 63,445,398,927.96
  5. Step 5: Solve for x
    x = 63,445,398,927.96/416,981.76
  6. Step 6: Final answer
    x = 152,153.90

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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.