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Finding the Fourth Proportional to 296,851.20, 445,276.80 and 208,204.80

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Solution

The fourth proportional to 296,851.20, 445,276.80 and 208,204.80 is: 312,307.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,851.20 : 445,276.80 = 208,204.80 : x
  2. Step 2: Convert to fraction form
    296,851.20/445,276.80 = 208,204.80/x
  3. Step 3: Cross multiply
    296,851.20x = 445,276.80 × 208,204.80
  4. Step 4: Simplify right side
    296,851.20x = 92,708,767,088.64
  5. Step 5: Solve for x
    x = 92,708,767,088.64/296,851.20
  6. Step 6: Final answer
    x = 312,307.20

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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.