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Finding the Fourth Proportional to 461,901.60, 692,708.40 and 181,504.80

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Solution

The fourth proportional to 461,901.60, 692,708.40 and 181,504.80 is: 272,200.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,901.60 : 692,708.40 = 181,504.80 : x
  2. Step 2: Convert to fraction form
    461,901.60/692,708.40 = 181,504.80/x
  3. Step 3: Cross multiply
    461,901.60x = 692,708.40 × 181,504.80
  4. Step 4: Simplify right side
    461,901.60x = 125,729,899,600.32
  5. Step 5: Solve for x
    x = 125,729,899,600.32/461,901.60
  6. Step 6: Final answer
    x = 272,200.62

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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.