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Finding the Fourth Proportional to 325,001.48, 487,442.46 and 147,465.80

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Solution

The fourth proportional to 325,001.48, 487,442.46 and 147,465.80 is: 221,171.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,001.48 : 487,442.46 = 147,465.80 : x
  2. Step 2: Convert to fraction form
    325,001.48/487,442.46 = 147,465.80/x
  3. Step 3: Cross multiply
    325,001.48x = 487,442.46 × 147,465.80
  4. Step 4: Simplify right side
    325,001.48x = 71,881,092,317.87
  5. Step 5: Solve for x
    x = 71,881,092,317.87/325,001.48
  6. Step 6: Final answer
    x = 221,171.58

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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.