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Finding the Fourth Proportional to 410,312, 566,250.12 and 231,464

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Solution

The fourth proportional to 410,312, 566,250.12 and 231,464 is: 319,431.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,312 : 566,250.12 = 231,464 : x
  2. Step 2: Convert to fraction form
    410,312/566,250.12 = 231,464/x
  3. Step 3: Cross multiply
    410,312x = 566,250.12 × 231,464
  4. Step 4: Simplify right side
    410,312x = 131,066,517,775.68
  5. Step 5: Solve for x
    x = 131,066,517,775.68/410,312
  6. Step 6: Final answer
    x = 319,431.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.