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Finding the Fourth Proportional to 402,868.84, 555,959.46 and 224,017

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Solution

The fourth proportional to 402,868.84, 555,959.46 and 224,017 is: 309,143.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,868.84 : 555,959.46 = 224,017 : x
  2. Step 2: Convert to fraction form
    402,868.84/555,959.46 = 224,017/x
  3. Step 3: Cross multiply
    402,868.84x = 555,959.46 × 224,017
  4. Step 4: Simplify right side
    402,868.84x = 124,544,370,350.82
  5. Step 5: Solve for x
    x = 124,544,370,350.82/402,868.84
  6. Step 6: Final answer
    x = 309,143.72

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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.