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Finding the Fourth Proportional to 314,117.33, 471,412.79 and 230,092.79

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Solution

The fourth proportional to 314,117.33, 471,412.79 and 230,092.79 is: 345,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,117.33 : 471,412.79 = 230,092.79 : x
  2. Step 2: Convert to fraction form
    314,117.33/471,412.79 = 230,092.79/x
  3. Step 3: Cross multiply
    314,117.33x = 471,412.79 × 230,092.79
  4. Step 4: Simplify right side
    314,117.33x = 108,468,682,742.38
  5. Step 5: Solve for x
    x = 108,468,682,742.38/314,117.33
  6. Step 6: Final answer
    x = 345,312.64

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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.