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Finding the Fourth Proportional to 462,105.60, 692,121.60 and 451,737.60

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Solution

The fourth proportional to 462,105.60, 692,121.60 and 451,737.60 is: 676,592.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,105.60 : 692,121.60 = 451,737.60 : x
  2. Step 2: Convert to fraction form
    462,105.60/692,121.60 = 451,737.60/x
  3. Step 3: Cross multiply
    462,105.60x = 692,121.60 × 451,737.60
  4. Step 4: Simplify right side
    462,105.60x = 312,657,350,492.16
  5. Step 5: Solve for x
    x = 312,657,350,492.16/462,105.60
  6. Step 6: Final answer
    x = 676,592.86

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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.