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Finding the Fourth Proportional to 310,873.80, 466,541.10 and 205,657.80

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Solution

The fourth proportional to 310,873.80, 466,541.10 and 205,657.80 is: 308,639.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,873.80 : 466,541.10 = 205,657.80 : x
  2. Step 2: Convert to fraction form
    310,873.80/466,541.10 = 205,657.80/x
  3. Step 3: Cross multiply
    310,873.80x = 466,541.10 × 205,657.80
  4. Step 4: Simplify right side
    310,873.80x = 95,947,816,235.58
  5. Step 5: Solve for x
    x = 95,947,816,235.58/310,873.80
  6. Step 6: Final answer
    x = 308,639.12

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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.