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Finding the Fourth Proportional to 403,524, 556,902 and 224,676

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Solution

The fourth proportional to 403,524, 556,902 and 224,676 is: 310,074.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,524 : 556,902 = 224,676 : x
  2. Step 2: Convert to fraction form
    403,524/556,902 = 224,676/x
  3. Step 3: Cross multiply
    403,524x = 556,902 × 224,676
  4. Step 4: Simplify right side
    403,524x = 125,122,513,752
  5. Step 5: Solve for x
    x = 125,122,513,752/403,524
  6. Step 6: Final answer
    x = 310,074.53

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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.