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Finding the Fourth Proportional to 353,817.46, 488,263.24 and 200,854.32

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Solution

The fourth proportional to 353,817.46, 488,263.24 and 200,854.32 is: 277,176.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,817.46 : 488,263.24 = 200,854.32 : x
  2. Step 2: Convert to fraction form
    353,817.46/488,263.24 = 200,854.32/x
  3. Step 3: Cross multiply
    353,817.46x = 488,263.24 × 200,854.32
  4. Step 4: Simplify right side
    353,817.46x = 98,069,778,215.94
  5. Step 5: Solve for x
    x = 98,069,778,215.94/353,817.46
  6. Step 6: Final answer
    x = 277,176.20

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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.