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Finding the Fourth Proportional to 289,443.74, 433,417.88 and 199,763.18

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Solution

The fourth proportional to 289,443.74, 433,417.88 and 199,763.18 is: 299,128.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,443.74 : 433,417.88 = 199,763.18 : x
  2. Step 2: Convert to fraction form
    289,443.74/433,417.88 = 199,763.18/x
  3. Step 3: Cross multiply
    289,443.74x = 433,417.88 × 199,763.18
  4. Step 4: Simplify right side
    289,443.74x = 86,580,933,977.66
  5. Step 5: Solve for x
    x = 86,580,933,977.66/289,443.74
  6. Step 6: Final answer
    x = 299,128.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.