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Finding the Fourth Proportional to 286,034.70, 429,052.05 and 219,809.10

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Solution

The fourth proportional to 286,034.70, 429,052.05 and 219,809.10 is: 329,713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,034.70 : 429,052.05 = 219,809.10 : x
  2. Step 2: Convert to fraction form
    286,034.70/429,052.05 = 219,809.10/x
  3. Step 3: Cross multiply
    286,034.70x = 429,052.05 × 219,809.10
  4. Step 4: Simplify right side
    286,034.70x = 94,309,544,963.66
  5. Step 5: Solve for x
    x = 94,309,544,963.66/286,034.70
  6. Step 6: Final answer
    x = 329,713.65

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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.