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Finding the Fourth Proportional to 292,398.94, 403,510.64 and 165,082.73

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Solution

The fourth proportional to 292,398.94, 403,510.64 and 165,082.73 is: 227,814.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,398.94 : 403,510.64 = 165,082.73 : x
  2. Step 2: Convert to fraction form
    292,398.94/403,510.64 = 165,082.73/x
  3. Step 3: Cross multiply
    292,398.94x = 403,510.64 × 165,082.73
  4. Step 4: Simplify right side
    292,398.94x = 66,612,638,218.61
  5. Step 5: Solve for x
    x = 66,612,638,218.61/292,398.94
  6. Step 6: Final answer
    x = 227,814.23

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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.