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Finding the Fourth Proportional to 310,624.89, 465,937.95 and 85,985.97

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Solution

The fourth proportional to 310,624.89, 465,937.95 and 85,985.97 is: 128,979.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,624.89 : 465,937.95 = 85,985.97 : x
  2. Step 2: Convert to fraction form
    310,624.89/465,937.95 = 85,985.97/x
  3. Step 3: Cross multiply
    310,624.89x = 465,937.95 × 85,985.97
  4. Step 4: Simplify right side
    310,624.89x = 40,064,126,590.56
  5. Step 5: Solve for x
    x = 40,064,126,590.56/310,624.89
  6. Step 6: Final answer
    x = 128,979.13

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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.