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Finding the Fourth Proportional to 506,948.60, 699,662.96 and 292,047.32

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Solution

The fourth proportional to 506,948.60, 699,662.96 and 292,047.32 is: 403,067.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,948.60 : 699,662.96 = 292,047.32 : x
  2. Step 2: Convert to fraction form
    506,948.60/699,662.96 = 292,047.32/x
  3. Step 3: Cross multiply
    506,948.60x = 699,662.96 × 292,047.32
  4. Step 4: Simplify right side
    506,948.60x = 204,334,692,371.27
  5. Step 5: Solve for x
    x = 204,334,692,371.27/506,948.60
  6. Step 6: Final answer
    x = 403,067.87

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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.