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Finding the Fourth Proportional to 341,750.59, 471,353.71 and 205,642.65

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Solution

The fourth proportional to 341,750.59, 471,353.71 and 205,642.65 is: 283,629.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,750.59 : 471,353.71 = 205,642.65 : x
  2. Step 2: Convert to fraction form
    341,750.59/471,353.71 = 205,642.65/x
  3. Step 3: Cross multiply
    341,750.59x = 471,353.71 × 205,642.65
  4. Step 4: Simplify right side
    341,750.59x = 96,930,424,421.05
  5. Step 5: Solve for x
    x = 96,930,424,421.05/341,750.59
  6. Step 6: Final answer
    x = 283,629.13

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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.