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Finding the Fourth Proportional to 354,911.60, 532,756.20 and 197,447.60

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Solution

The fourth proportional to 354,911.60, 532,756.20 and 197,447.60 is: 296,387.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,911.60 : 532,756.20 = 197,447.60 : x
  2. Step 2: Convert to fraction form
    354,911.60/532,756.20 = 197,447.60/x
  3. Step 3: Cross multiply
    354,911.60x = 532,756.20 × 197,447.60
  4. Step 4: Simplify right side
    354,911.60x = 105,191,433,075.12
  5. Step 5: Solve for x
    x = 105,191,433,075.12/354,911.60
  6. Step 6: Final answer
    x = 296,387.70

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1.5x scale

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.