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Finding the Fourth Proportional to 416,280.60, 624,423.96 and 100,737.50

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Solution

The fourth proportional to 416,280.60, 624,423.96 and 100,737.50 is: 151,106.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,280.60 : 624,423.96 = 100,737.50 : x
  2. Step 2: Convert to fraction form
    416,280.60/624,423.96 = 100,737.50/x
  3. Step 3: Cross multiply
    416,280.60x = 624,423.96 × 100,737.50
  4. Step 4: Simplify right side
    416,280.60x = 62,902,905,548.38
  5. Step 5: Solve for x
    x = 62,902,905,548.38/416,280.60
  6. Step 6: Final answer
    x = 151,106.98

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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.