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Finding the Fourth Proportional to 416,491.84, 624,737.78 and 100,948.74

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Solution

The fourth proportional to 416,491.84, 624,737.78 and 100,948.74 is: 151,423.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,491.84 : 624,737.78 = 100,948.74 : x
  2. Step 2: Convert to fraction form
    416,491.84/624,737.78 = 100,948.74/x
  3. Step 3: Cross multiply
    416,491.84x = 624,737.78 × 100,948.74
  4. Step 4: Simplify right side
    416,491.84x = 63,066,491,721.40
  5. Step 5: Solve for x
    x = 63,066,491,721.40/416,491.84
  6. Step 6: Final answer
    x = 151,423.11

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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.