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Finding the Fourth Proportional to 506,986.08, 699,714.48 and 292,084.32

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Solution

The fourth proportional to 506,986.08, 699,714.48 and 292,084.32 is: 403,118.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,986.08 : 699,714.48 = 292,084.32 : x
  2. Step 2: Convert to fraction form
    506,986.08/699,714.48 = 292,084.32/x
  3. Step 3: Cross multiply
    506,986.08x = 699,714.48 × 292,084.32
  4. Step 4: Simplify right side
    506,986.08x = 204,375,628,084.95
  5. Step 5: Solve for x
    x = 204,375,628,084.95/506,986.08
  6. Step 6: Final answer
    x = 403,118.82

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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.