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Finding the Fourth Proportional to 472,959.68, 652,698.77 and 269,040.15

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Solution

The fourth proportional to 472,959.68, 652,698.77 and 269,040.15 is: 371,283.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,959.68 : 652,698.77 = 269,040.15 : x
  2. Step 2: Convert to fraction form
    472,959.68/652,698.77 = 269,040.15/x
  3. Step 3: Cross multiply
    472,959.68x = 652,698.77 × 269,040.15
  4. Step 4: Simplify right side
    472,959.68x = 175,602,173,640.42
  5. Step 5: Solve for x
    x = 175,602,173,640.42/472,959.68
  6. Step 6: Final answer
    x = 371,283.61

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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.