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Finding the Fourth Proportional to 360,947.88, 498,160.80 and 207,956.16

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Solution

The fourth proportional to 360,947.88, 498,160.80 and 207,956.16 is: 287,009.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,947.88 : 498,160.80 = 207,956.16 : x
  2. Step 2: Convert to fraction form
    360,947.88/498,160.80 = 207,956.16/x
  3. Step 3: Cross multiply
    360,947.88x = 498,160.80 × 207,956.16
  4. Step 4: Simplify right side
    360,947.88x = 103,595,607,030.53
  5. Step 5: Solve for x
    x = 103,595,607,030.53/360,947.88
  6. Step 6: Final answer
    x = 287,009.88

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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.