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Finding the Fourth Proportional to 365,565.76, 504,527.70 and 204,429.80

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Solution

The fourth proportional to 365,565.76, 504,527.70 and 204,429.80 is: 282,139.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,565.76 : 504,527.70 = 204,429.80 : x
  2. Step 2: Convert to fraction form
    365,565.76/504,527.70 = 204,429.80/x
  3. Step 3: Cross multiply
    365,565.76x = 504,527.70 × 204,429.80
  4. Step 4: Simplify right side
    365,565.76x = 103,140,496,805.46
  5. Step 5: Solve for x
    x = 103,140,496,805.46/365,565.76
  6. Step 6: Final answer
    x = 282,139.38

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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.