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Finding the Fourth Proportional to 488,405.26, 674,023.28 and 294,809.90

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Solution

The fourth proportional to 488,405.26, 674,023.28 and 294,809.90 is: 406,852.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,405.26 : 674,023.28 = 294,809.90 : x
  2. Step 2: Convert to fraction form
    488,405.26/674,023.28 = 294,809.90/x
  3. Step 3: Cross multiply
    488,405.26x = 674,023.28 × 294,809.90
  4. Step 4: Simplify right side
    488,405.26x = 198,708,733,141.38
  5. Step 5: Solve for x
    x = 198,708,733,141.38/488,405.26
  6. Step 6: Final answer
    x = 406,852.16

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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.