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Finding the Fourth Proportional to 496,814.52, 685,693.80 and 292,853.70

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Solution

The fourth proportional to 496,814.52, 685,693.80 and 292,853.70 is: 404,191.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,814.52 : 685,693.80 = 292,853.70 : x
  2. Step 2: Convert to fraction form
    496,814.52/685,693.80 = 292,853.70/x
  3. Step 3: Cross multiply
    496,814.52x = 685,693.80 × 292,853.70
  4. Step 4: Simplify right side
    496,814.52x = 200,807,966,397.06
  5. Step 5: Solve for x
    x = 200,807,966,397.06/496,814.52
  6. Step 6: Final answer
    x = 404,191.02

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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.