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Finding the Fourth Proportional to 492,100.10, 738,150.15 and 314,807.30

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Solution

The fourth proportional to 492,100.10, 738,150.15 and 314,807.30 is: 472,210.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,100.10 : 738,150.15 = 314,807.30 : x
  2. Step 2: Convert to fraction form
    492,100.10/738,150.15 = 314,807.30/x
  3. Step 3: Cross multiply
    492,100.10x = 738,150.15 × 314,807.30
  4. Step 4: Simplify right side
    492,100.10x = 232,375,055,716.10
  5. Step 5: Solve for x
    x = 232,375,055,716.10/492,100.10
  6. Step 6: Final answer
    x = 472,210.95

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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.