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Finding the Fourth Proportional to 512,694.85, 707,497.48 and 294,886.96

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Solution

The fourth proportional to 512,694.85, 707,497.48 and 294,886.96 is: 406,931.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,694.85 : 707,497.48 = 294,886.96 : x
  2. Step 2: Convert to fraction form
    512,694.85/707,497.48 = 294,886.96/x
  3. Step 3: Cross multiply
    512,694.85x = 707,497.48 × 294,886.96
  4. Step 4: Simplify right side
    512,694.85x = 208,631,781,084.86
  5. Step 5: Solve for x
    x = 208,631,781,084.86/512,694.85
  6. Step 6: Final answer
    x = 406,931.69

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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.