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Finding the Fourth Proportional to 288,098.16, 397,750.68 and 197,602.80

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Solution

The fourth proportional to 288,098.16, 397,750.68 and 197,602.80 is: 272,812.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,098.16 : 397,750.68 = 197,602.80 : x
  2. Step 2: Convert to fraction form
    288,098.16/397,750.68 = 197,602.80/x
  3. Step 3: Cross multiply
    288,098.16x = 397,750.68 × 197,602.80
  4. Step 4: Simplify right side
    288,098.16x = 78,596,648,069.90
  5. Step 5: Solve for x
    x = 78,596,648,069.90/288,098.16
  6. Step 6: Final answer
    x = 272,812.04

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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.