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Finding the Fourth Proportional to 390,046.68, 584,954.10 and 165,403.80

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Solution

The fourth proportional to 390,046.68, 584,954.10 and 165,403.80 is: 248,056.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,046.68 : 584,954.10 = 165,403.80 : x
  2. Step 2: Convert to fraction form
    390,046.68/584,954.10 = 165,403.80/x
  3. Step 3: Cross multiply
    390,046.68x = 584,954.10 × 165,403.80
  4. Step 4: Simplify right side
    390,046.68x = 96,753,630,965.58
  5. Step 5: Solve for x
    x = 96,753,630,965.58/390,046.68
  6. Step 6: Final answer
    x = 248,056.54

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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.