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Finding the Fourth Proportional to 277,428.48, 415,967.76 and 152,856.96

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Solution

The fourth proportional to 277,428.48, 415,967.76 and 152,856.96 is: 229,189.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,428.48 : 415,967.76 = 152,856.96 : x
  2. Step 2: Convert to fraction form
    277,428.48/415,967.76 = 152,856.96/x
  3. Step 3: Cross multiply
    277,428.48x = 415,967.76 × 152,856.96
  4. Step 4: Simplify right side
    277,428.48x = 63,583,567,251.61
  5. Step 5: Solve for x
    x = 63,583,567,251.61/277,428.48
  6. Step 6: Final answer
    x = 229,189.04

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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.