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Finding the Fourth Proportional to 295,241.40, 442,862.10 and 275,412.60

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Solution

The fourth proportional to 295,241.40, 442,862.10 and 275,412.60 is: 413,118.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,241.40 : 442,862.10 = 275,412.60 : x
  2. Step 2: Convert to fraction form
    295,241.40/442,862.10 = 275,412.60/x
  3. Step 3: Cross multiply
    295,241.40x = 442,862.10 × 275,412.60
  4. Step 4: Simplify right side
    295,241.40x = 121,969,802,402.46
  5. Step 5: Solve for x
    x = 121,969,802,402.46/295,241.40
  6. Step 6: Final answer
    x = 413,118.90

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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.