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Finding the Fourth Proportional to 557,653.14, 836,478.03 and 158,294.25

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Solution

The fourth proportional to 557,653.14, 836,478.03 and 158,294.25 is: 237,440.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,653.14 : 836,478.03 = 158,294.25 : x
  2. Step 2: Convert to fraction form
    557,653.14/836,478.03 = 158,294.25/x
  3. Step 3: Cross multiply
    557,653.14x = 836,478.03 × 158,294.25
  4. Step 4: Simplify right side
    557,653.14x = 132,409,662,400.33
  5. Step 5: Solve for x
    x = 132,409,662,400.33/557,653.14
  6. Step 6: Final answer
    x = 237,440.90

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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.