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Finding the Fourth Proportional to 498,535.81, 747,646.86 and 161,498.26

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Solution

The fourth proportional to 498,535.81, 747,646.86 and 161,498.26 is: 242,196.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,535.81 : 747,646.86 = 161,498.26 : x
  2. Step 2: Convert to fraction form
    498,535.81/747,646.86 = 161,498.26/x
  3. Step 3: Cross multiply
    498,535.81x = 747,646.86 × 161,498.26
  4. Step 4: Simplify right side
    498,535.81x = 120,743,669,718.97
  5. Step 5: Solve for x
    x = 120,743,669,718.97/498,535.81
  6. Step 6: Final answer
    x = 242,196.58

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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.