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Finding the Fourth Proportional to 314,471.03, 471,780.33 and 89,834.68

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Solution

The fourth proportional to 314,471.03, 471,780.33 and 89,834.68 is: 134,773.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,471.03 : 471,780.33 = 89,834.68 : x
  2. Step 2: Convert to fraction form
    314,471.03/471,780.33 = 89,834.68/x
  3. Step 3: Cross multiply
    314,471.03x = 471,780.33 × 89,834.68
  4. Step 4: Simplify right side
    314,471.03x = 42,382,233,459.51
  5. Step 5: Solve for x
    x = 42,382,233,459.51/314,471.03
  6. Step 6: Final answer
    x = 134,773.09

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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.