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Finding the Fourth Proportional to 567,402.48, 851,132.88 and 146,682

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Solution

The fourth proportional to 567,402.48, 851,132.88 and 146,682 is: 220,030.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,402.48 : 851,132.88 = 146,682 : x
  2. Step 2: Convert to fraction form
    567,402.48/851,132.88 = 146,682/x
  3. Step 3: Cross multiply
    567,402.48x = 851,132.88 × 146,682
  4. Step 4: Simplify right side
    567,402.48x = 124,845,873,104.16
  5. Step 5: Solve for x
    x = 124,845,873,104.16/567,402.48
  6. Step 6: Final answer
    x = 220,030.54

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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.