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Finding the Fourth Proportional to 462,140.13, 693,210.19 and 166,652.13

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Solution

The fourth proportional to 462,140.13, 693,210.19 and 166,652.13 is: 249,978.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,140.13 : 693,210.19 = 166,652.13 : x
  2. Step 2: Convert to fraction form
    462,140.13/693,210.19 = 166,652.13/x
  3. Step 3: Cross multiply
    462,140.13x = 693,210.19 × 166,652.13
  4. Step 4: Simplify right side
    462,140.13x = 115,524,950,818.52
  5. Step 5: Solve for x
    x = 115,524,950,818.52/462,140.13
  6. Step 6: Final answer
    x = 249,978.19

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Similar ratio
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1.5x scale

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.