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Finding the Fourth Proportional to 472,104.29, 708,365.75 and 247,411.29

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Solution

The fourth proportional to 472,104.29, 708,365.75 and 247,411.29 is: 371,226.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,104.29 : 708,365.75 = 247,411.29 : x
  2. Step 2: Convert to fraction form
    472,104.29/708,365.75 = 247,411.29/x
  3. Step 3: Cross multiply
    472,104.29x = 708,365.75 × 247,411.29
  4. Step 4: Simplify right side
    472,104.29x = 175,257,682,762.26
  5. Step 5: Solve for x
    x = 175,257,682,762.26/472,104.29
  6. Step 6: Final answer
    x = 371,226.63

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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.