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Finding the Fourth Proportional to 354,031.80, 488,591.10 and 201,097.32

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Solution

The fourth proportional to 354,031.80, 488,591.10 and 201,097.32 is: 277,529.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,031.80 : 488,591.10 = 201,097.32 : x
  2. Step 2: Convert to fraction form
    354,031.80/488,591.10 = 201,097.32/x
  3. Step 3: Cross multiply
    354,031.80x = 488,591.10 × 201,097.32
  4. Step 4: Simplify right side
    354,031.80x = 98,254,360,785.85
  5. Step 5: Solve for x
    x = 98,254,360,785.85/354,031.80
  6. Step 6: Final answer
    x = 277,529.76

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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.