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Finding the Fourth Proportional to 506,896.10, 699,549.09 and 292,032.26

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Solution

The fourth proportional to 506,896.10, 699,549.09 and 292,032.26 is: 403,023.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,896.10 : 699,549.09 = 292,032.26 : x
  2. Step 2: Convert to fraction form
    506,896.10/699,549.09 = 292,032.26/x
  3. Step 3: Cross multiply
    506,896.10x = 699,549.09 × 292,032.26
  4. Step 4: Simplify right side
    506,896.10x = 204,290,901,733.64
  5. Step 5: Solve for x
    x = 204,290,901,733.64/506,896.10
  6. Step 6: Final answer
    x = 403,023.23

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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.