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Finding the Fourth Proportional to 403,674, 557,070.12 and 224,826

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Solution

The fourth proportional to 403,674, 557,070.12 and 224,826 is: 310,259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,674 : 557,070.12 = 224,826 : x
  2. Step 2: Convert to fraction form
    403,674/557,070.12 = 224,826/x
  3. Step 3: Cross multiply
    403,674x = 557,070.12 × 224,826
  4. Step 4: Simplify right side
    403,674x = 125,243,846,799.12
  5. Step 5: Solve for x
    x = 125,243,846,799.12/403,674
  6. Step 6: Final answer
    x = 310,259.88

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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.