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Finding the Fourth Proportional to 317,085, 473,886.44 and 231,875.38

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Solution

The fourth proportional to 317,085, 473,886.44 and 231,875.38 is: 346,539.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,085 : 473,886.44 = 231,875.38 : x
  2. Step 2: Convert to fraction form
    317,085/473,886.44 = 231,875.38/x
  3. Step 3: Cross multiply
    317,085x = 473,886.44 × 231,875.38
  4. Step 4: Simplify right side
    317,085x = 109,882,598,351.85
  5. Step 5: Solve for x
    x = 109,882,598,351.85/317,085
  6. Step 6: Final answer
    x = 346,539.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.