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Finding the Fourth Proportional to 354,911.40, 532,746.18 and 197,097.48

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Solution

The fourth proportional to 354,911.40, 532,746.18 and 197,097.48 is: 295,856.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,911.40 : 532,746.18 = 197,097.48 : x
  2. Step 2: Convert to fraction form
    354,911.40/532,746.18 = 197,097.48/x
  3. Step 3: Cross multiply
    354,911.40x = 532,746.18 × 197,097.48
  4. Step 4: Simplify right side
    354,911.40x = 105,002,929,557.63
  5. Step 5: Solve for x
    x = 105,002,929,557.63/354,911.40
  6. Step 6: Final answer
    x = 295,856.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.