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Finding the Fourth Proportional to 403,814, 557,274.84 and 224,977.52

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Solution

The fourth proportional to 403,814, 557,274.84 and 224,977.52 is: 310,475.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,814 : 557,274.84 = 224,977.52 : x
  2. Step 2: Convert to fraction form
    403,814/557,274.84 = 224,977.52/x
  3. Step 3: Cross multiply
    403,814x = 557,274.84 × 224,977.52
  4. Step 4: Simplify right side
    403,814x = 125,374,311,461.60
  5. Step 5: Solve for x
    x = 125,374,311,461.60/403,814
  6. Step 6: Final answer
    x = 310,475.40

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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.