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Finding the Fourth Proportional to 353,856.34, 488,254.65 and 224,815.82

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Solution

The fourth proportional to 353,856.34, 488,254.65 and 224,815.82 is: 310,203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,856.34 : 488,254.65 = 224,815.82 : x
  2. Step 2: Convert to fraction form
    353,856.34/488,254.65 = 224,815.82/x
  3. Step 3: Cross multiply
    353,856.34x = 488,254.65 × 224,815.82
  4. Step 4: Simplify right side
    353,856.34x = 109,767,369,508.56
  5. Step 5: Solve for x
    x = 109,767,369,508.56/353,856.34
  6. Step 6: Final answer
    x = 310,203.20

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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.