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Finding the Fourth Proportional to 314,918.66, 472,052.45 and 146,301.42

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Solution

The fourth proportional to 314,918.66, 472,052.45 and 146,301.42 is: 219,300.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,918.66 : 472,052.45 = 146,301.42 : x
  2. Step 2: Convert to fraction form
    314,918.66/472,052.45 = 146,301.42/x
  3. Step 3: Cross multiply
    314,918.66x = 472,052.45 × 146,301.42
  4. Step 4: Simplify right side
    314,918.66x = 69,061,940,873.80
  5. Step 5: Solve for x
    x = 69,061,940,873.80/314,918.66
  6. Step 6: Final answer
    x = 219,300.89

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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.