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Finding the Fourth Proportional to 498,457.80, 747,686.70 and 166,033.80

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Solution

The fourth proportional to 498,457.80, 747,686.70 and 166,033.80 is: 249,050.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,457.80 : 747,686.70 = 166,033.80 : x
  2. Step 2: Convert to fraction form
    498,457.80/747,686.70 = 166,033.80/x
  3. Step 3: Cross multiply
    498,457.80x = 747,686.70 × 166,033.80
  4. Step 4: Simplify right side
    498,457.80x = 124,141,264,010.46
  5. Step 5: Solve for x
    x = 124,141,264,010.46/498,457.80
  6. Step 6: Final answer
    x = 249,050.70

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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.