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Finding the Fourth Proportional to 488,407.38, 674,004.25 and 284,598.12

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Solution

The fourth proportional to 488,407.38, 674,004.25 and 284,598.12 is: 392,746.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,407.38 : 674,004.25 = 284,598.12 : x
  2. Step 2: Convert to fraction form
    488,407.38/674,004.25 = 284,598.12/x
  3. Step 3: Cross multiply
    488,407.38x = 674,004.25 × 284,598.12
  4. Step 4: Simplify right side
    488,407.38x = 191,820,342,422.01
  5. Step 5: Solve for x
    x = 191,820,342,422.01/488,407.38
  6. Step 6: Final answer
    x = 392,746.61

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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.