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Finding the Fourth Proportional to 367,499.80, 507,118.62 and 206,342.20

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Solution

The fourth proportional to 367,499.80, 507,118.62 and 206,342.20 is: 284,734.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,499.80 : 507,118.62 = 206,342.20 : x
  2. Step 2: Convert to fraction form
    367,499.80/507,118.62 = 206,342.20/x
  3. Step 3: Cross multiply
    367,499.80x = 507,118.62 × 206,342.20
  4. Step 4: Simplify right side
    367,499.80x = 104,639,971,711.76
  5. Step 5: Solve for x
    x = 104,639,971,711.76/367,499.80
  6. Step 6: Final answer
    x = 284,734.77

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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.