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Finding the Fourth Proportional to 416,487.85, 624,731.76 and 100,944.74

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Solution

The fourth proportional to 416,487.85, 624,731.76 and 100,944.74 is: 151,417.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,487.85 : 624,731.76 = 100,944.74 : x
  2. Step 2: Convert to fraction form
    416,487.85/624,731.76 = 100,944.74/x
  3. Step 3: Cross multiply
    416,487.85x = 624,731.76 × 100,944.74
  4. Step 4: Simplify right side
    416,487.85x = 63,063,386,644.77
  5. Step 5: Solve for x
    x = 63,063,386,644.77/416,487.85
  6. Step 6: Final answer
    x = 151,417.11

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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.