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Finding the Fourth Proportional to 334,091.89, 500,899.74 and 156,502

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Solution

The fourth proportional to 334,091.89, 500,899.74 and 156,502 is: 234,641.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,091.89 : 500,899.74 = 156,502 : x
  2. Step 2: Convert to fraction form
    334,091.89/500,899.74 = 156,502/x
  3. Step 3: Cross multiply
    334,091.89x = 500,899.74 × 156,502
  4. Step 4: Simplify right side
    334,091.89x = 78,391,811,109.48
  5. Step 5: Solve for x
    x = 78,391,811,109.48/334,091.89
  6. Step 6: Final answer
    x = 234,641.47

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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.