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Finding the Fourth Proportional to 492,100.60, 738,150.90 and 314,807.80

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Solution

The fourth proportional to 492,100.60, 738,150.90 and 314,807.80 is: 472,211.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,100.60 : 738,150.90 = 314,807.80 : x
  2. Step 2: Convert to fraction form
    492,100.60/738,150.90 = 314,807.80/x
  3. Step 3: Cross multiply
    492,100.60x = 738,150.90 × 314,807.80
  4. Step 4: Simplify right side
    492,100.60x = 232,375,660,897.02
  5. Step 5: Solve for x
    x = 232,375,660,897.02/492,100.60
  6. Step 6: Final answer
    x = 472,211.70

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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.