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Finding the Fourth Proportional to 367,498.80, 507,117.24 and 206,341.20

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Solution

The fourth proportional to 367,498.80, 507,117.24 and 206,341.20 is: 284,733.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,498.80 : 507,117.24 = 206,341.20 : x
  2. Step 2: Convert to fraction form
    367,498.80/507,117.24 = 206,341.20/x
  3. Step 3: Cross multiply
    367,498.80x = 507,117.24 × 206,341.20
  4. Step 4: Simplify right side
    367,498.80x = 104,639,179,842.29
  5. Step 5: Solve for x
    x = 104,639,179,842.29/367,498.80
  6. Step 6: Final answer
    x = 284,733.39

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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.