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Finding the Fourth Proportional to 397,881.28, 596,603.80 and 157,751.92

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Solution

The fourth proportional to 397,881.28, 596,603.80 and 157,751.92 is: 236,541.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,881.28 : 596,603.80 = 157,751.92 : x
  2. Step 2: Convert to fraction form
    397,881.28/596,603.80 = 157,751.92/x
  3. Step 3: Cross multiply
    397,881.28x = 596,603.80 × 157,751.92
  4. Step 4: Simplify right side
    397,881.28x = 94,115,394,929.30
  5. Step 5: Solve for x
    x = 94,115,394,929.30/397,881.28
  6. Step 6: Final answer
    x = 236,541.40

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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.