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Finding the Fourth Proportional to 403,677, 557,074.26 and 224,829

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Solution

The fourth proportional to 403,677, 557,074.26 and 224,829 is: 310,264.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,677 : 557,074.26 = 224,829 : x
  2. Step 2: Convert to fraction form
    403,677/557,074.26 = 224,829/x
  3. Step 3: Cross multiply
    403,677x = 557,074.26 × 224,829
  4. Step 4: Simplify right side
    403,677x = 125,246,448,801.54
  5. Step 5: Solve for x
    x = 125,246,448,801.54/403,677
  6. Step 6: Final answer
    x = 310,264.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.