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Finding the Fourth Proportional to 410,861, 566,661.92 and 249,713

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Solution

The fourth proportional to 410,861, 566,661.92 and 249,713 is: 344,405.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,861 : 566,661.92 = 249,713 : x
  2. Step 2: Convert to fraction form
    410,861/566,661.92 = 249,713/x
  3. Step 3: Cross multiply
    410,861x = 566,661.92 × 249,713
  4. Step 4: Simplify right side
    410,861x = 141,502,848,028.96
  5. Step 5: Solve for x
    x = 141,502,848,028.96/410,861
  6. Step 6: Final answer
    x = 344,405.65

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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.