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Finding the Fourth Proportional to 461,899.60, 692,705.40 and 181,502.80

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Solution

The fourth proportional to 461,899.60, 692,705.40 and 181,502.80 is: 272,197.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,899.60 : 692,705.40 = 181,502.80 : x
  2. Step 2: Convert to fraction form
    461,899.60/692,705.40 = 181,502.80/x
  3. Step 3: Cross multiply
    461,899.60x = 692,705.40 × 181,502.80
  4. Step 4: Simplify right side
    461,899.60x = 125,727,969,675.12
  5. Step 5: Solve for x
    x = 125,727,969,675.12/461,899.60
  6. Step 6: Final answer
    x = 272,197.62

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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.