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Finding the Fourth Proportional to 257,000.80, 385,501.20 and 197,951.80

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Solution

The fourth proportional to 257,000.80, 385,501.20 and 197,951.80 is: 296,927.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,000.80 : 385,501.20 = 197,951.80 : x
  2. Step 2: Convert to fraction form
    257,000.80/385,501.20 = 197,951.80/x
  3. Step 3: Cross multiply
    257,000.80x = 385,501.20 × 197,951.80
  4. Step 4: Simplify right side
    257,000.80x = 76,310,656,442.16
  5. Step 5: Solve for x
    x = 76,310,656,442.16/257,000.80
  6. Step 6: Final answer
    x = 296,927.70

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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.