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Finding the Fourth Proportional to 741,774, 1,023,648.12 and 402,242.52

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Solution

The fourth proportional to 741,774, 1,023,648.12 and 402,242.52 is: 555,094.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,774 : 1,023,648.12 = 402,242.52 : x
  2. Step 2: Convert to fraction form
    741,774/1,023,648.12 = 402,242.52/x
  3. Step 3: Cross multiply
    741,774x = 1,023,648.12 × 402,242.52
  4. Step 4: Simplify right side
    741,774x = 411,754,799,382.06
  5. Step 5: Solve for x
    x = 411,754,799,382.06/741,774
  6. Step 6: Final answer
    x = 555,094.68

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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.