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Finding the Fourth Proportional to 361,101.31, 498,313.68 and 199,952.89

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Solution

The fourth proportional to 361,101.31, 498,313.68 and 199,952.89 is: 275,931.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,101.31 : 498,313.68 = 199,952.89 : x
  2. Step 2: Convert to fraction form
    361,101.31/498,313.68 = 199,952.89/x
  3. Step 3: Cross multiply
    361,101.31x = 498,313.68 × 199,952.89
  4. Step 4: Simplify right side
    361,101.31x = 99,639,261,810.10
  5. Step 5: Solve for x
    x = 99,639,261,810.10/361,101.31
  6. Step 6: Final answer
    x = 275,931.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.