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Finding the Fourth Proportional to 398,001.30, 596,127.15 and 239,954.10

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Solution

The fourth proportional to 398,001.30, 596,127.15 and 239,954.10 is: 359,403.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,001.30 : 596,127.15 = 239,954.10 : x
  2. Step 2: Convert to fraction form
    398,001.30/596,127.15 = 239,954.10/x
  3. Step 3: Cross multiply
    398,001.30x = 596,127.15 × 239,954.10
  4. Step 4: Simplify right side
    398,001.30x = 143,043,153,763.82
  5. Step 5: Solve for x
    x = 143,043,153,763.82/398,001.30
  6. Step 6: Final answer
    x = 359,403.74

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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.