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Finding the Fourth Proportional to 313,656.28, 470,502.44 and 88,999.14

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Solution

The fourth proportional to 313,656.28, 470,502.44 and 88,999.14 is: 133,503.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,656.28 : 470,502.44 = 88,999.14 : x
  2. Step 2: Convert to fraction form
    313,656.28/470,502.44 = 88,999.14/x
  3. Step 3: Cross multiply
    313,656.28x = 470,502.44 × 88,999.14
  4. Step 4: Simplify right side
    313,656.28x = 41,874,312,527.90
  5. Step 5: Solve for x
    x = 41,874,312,527.90/313,656.28
  6. Step 6: Final answer
    x = 133,503.82

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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.