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Finding the Fourth Proportional to 367,499.30, 507,117.93 and 206,341.70

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Solution

The fourth proportional to 367,499.30, 507,117.93 and 206,341.70 is: 284,734.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,499.30 : 507,117.93 = 206,341.70 : x
  2. Step 2: Convert to fraction form
    367,499.30/507,117.93 = 206,341.70/x
  3. Step 3: Cross multiply
    367,499.30x = 507,117.93 × 206,341.70
  4. Step 4: Simplify right side
    367,499.30x = 104,639,575,776.68
  5. Step 5: Solve for x
    x = 104,639,575,776.68/367,499.30
  6. Step 6: Final answer
    x = 284,734.08

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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.