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Finding the Fourth Proportional to 295,043.59, 442,631.20 and 84,665.13

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Solution

The fourth proportional to 295,043.59, 442,631.20 and 84,665.13 is: 127,016.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,043.59 : 442,631.20 = 84,665.13 : x
  2. Step 2: Convert to fraction form
    295,043.59/442,631.20 = 84,665.13/x
  3. Step 3: Cross multiply
    295,043.59x = 442,631.20 × 84,665.13
  4. Step 4: Simplify right side
    295,043.59x = 37,475,428,090.06
  5. Step 5: Solve for x
    x = 37,475,428,090.06/295,043.59
  6. Step 6: Final answer
    x = 127,016.58

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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.