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Finding the Fourth Proportional to 206,347.27, 309,496.68 and 56,602.70

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Solution

The fourth proportional to 206,347.27, 309,496.68 and 56,602.70 is: 84,897.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,347.27 : 309,496.68 = 56,602.70 : x
  2. Step 2: Convert to fraction form
    206,347.27/309,496.68 = 56,602.70/x
  3. Step 3: Cross multiply
    206,347.27x = 309,496.68 × 56,602.70
  4. Step 4: Simplify right side
    206,347.27x = 17,518,347,729.04
  5. Step 5: Solve for x
    x = 17,518,347,729.04/206,347.27
  6. Step 6: Final answer
    x = 84,897.40

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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.