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Finding the Fourth Proportional to 344,547.76, 475,437.85 and 206,719.38

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Solution

The fourth proportional to 344,547.76, 475,437.85 and 206,719.38 is: 285,249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,547.76 : 475,437.85 = 206,719.38 : x
  2. Step 2: Convert to fraction form
    344,547.76/475,437.85 = 206,719.38/x
  3. Step 3: Cross multiply
    344,547.76x = 475,437.85 × 206,719.38
  4. Step 4: Simplify right side
    344,547.76x = 98,282,215,720.14
  5. Step 5: Solve for x
    x = 98,282,215,720.14/344,547.76
  6. Step 6: Final answer
    x = 285,249.90

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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.