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Finding the Fourth Proportional to 292,219.52, 403,266.24 and 164,896.64

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Solution

The fourth proportional to 292,219.52, 403,266.24 and 164,896.64 is: 227,559.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,219.52 : 403,266.24 = 164,896.64 : x
  2. Step 2: Convert to fraction form
    292,219.52/403,266.24 = 164,896.64/x
  3. Step 3: Cross multiply
    292,219.52x = 403,266.24 × 164,896.64
  4. Step 4: Simplify right side
    292,219.52x = 66,497,248,001.43
  5. Step 5: Solve for x
    x = 66,497,248,001.43/292,219.52
  6. Step 6: Final answer
    x = 227,559.23

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1.5x scale

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.