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Finding the Fourth Proportional to 557,653.13, 836,478.05 and 158,294.24

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Solution

The fourth proportional to 557,653.13, 836,478.05 and 158,294.24 is: 237,440.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,653.13 : 836,478.05 = 158,294.24 : x
  2. Step 2: Convert to fraction form
    557,653.13/836,478.05 = 158,294.24/x
  3. Step 3: Cross multiply
    557,653.13x = 836,478.05 × 158,294.24
  4. Step 4: Simplify right side
    557,653.13x = 132,409,652,227.57
  5. Step 5: Solve for x
    x = 132,409,652,227.57/557,653.13
  6. Step 6: Final answer
    x = 237,440.89

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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.