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Finding the Fourth Proportional to 506,530.29, 699,029.07 and 288,771.17

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Solution

The fourth proportional to 506,530.29, 699,029.07 and 288,771.17 is: 398,514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,530.29 : 699,029.07 = 288,771.17 : x
  2. Step 2: Convert to fraction form
    506,530.29/699,029.07 = 288,771.17/x
  3. Step 3: Cross multiply
    506,530.29x = 699,029.07 × 288,771.17
  4. Step 4: Simplify right side
    506,530.29x = 201,859,441,420.23
  5. Step 5: Solve for x
    x = 201,859,441,420.23/506,530.29
  6. Step 6: Final answer
    x = 398,514.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.