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Finding the Fourth Proportional to 341,254.91, 511,663.65 and 141,713.03

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Solution

The fourth proportional to 341,254.91, 511,663.65 and 141,713.03 is: 212,478.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,254.91 : 511,663.65 = 141,713.03 : x
  2. Step 2: Convert to fraction form
    341,254.91/511,663.65 = 141,713.03/x
  3. Step 3: Cross multiply
    341,254.91x = 511,663.65 × 141,713.03
  4. Step 4: Simplify right side
    341,254.91x = 72,509,403,624.04
  5. Step 5: Solve for x
    x = 72,509,403,624.04/341,254.91
  6. Step 6: Final answer
    x = 212,478.71

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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.