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Finding the Fourth Proportional to 310,012.38, 427,789.22 and 180,962.10

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Solution

The fourth proportional to 310,012.38, 427,789.22 and 180,962.10 is: 249,711.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,012.38 : 427,789.22 = 180,962.10 : x
  2. Step 2: Convert to fraction form
    310,012.38/427,789.22 = 180,962.10/x
  3. Step 3: Cross multiply
    310,012.38x = 427,789.22 × 180,962.10
  4. Step 4: Simplify right side
    310,012.38x = 77,413,634,703.75
  5. Step 5: Solve for x
    x = 77,413,634,703.75/310,012.38
  6. Step 6: Final answer
    x = 249,711.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.