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Finding the Fourth Proportional to 416,491.86, 624,737.76 and 100,948.75

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Solution

The fourth proportional to 416,491.86, 624,737.76 and 100,948.75 is: 151,423.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,491.86 : 624,737.76 = 100,948.75 : x
  2. Step 2: Convert to fraction form
    416,491.86/624,737.76 = 100,948.75/x
  3. Step 3: Cross multiply
    416,491.86x = 624,737.76 × 100,948.75
  4. Step 4: Simplify right side
    416,491.86x = 63,066,495,949.80
  5. Step 5: Solve for x
    x = 63,066,495,949.80/416,491.86
  6. Step 6: Final answer
    x = 151,423.12

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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.