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Finding the Fourth Proportional to 561,419.94, 842,133.57 and 224,488.89

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Solution

The fourth proportional to 561,419.94, 842,133.57 and 224,488.89 is: 336,734.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,419.94 : 842,133.57 = 224,488.89 : x
  2. Step 2: Convert to fraction form
    561,419.94/842,133.57 = 224,488.89/x
  3. Step 3: Cross multiply
    561,419.94x = 842,133.57 × 224,488.89
  4. Step 4: Simplify right side
    561,419.94x = 189,049,630,361.04
  5. Step 5: Solve for x
    x = 189,049,630,361.04/561,419.94
  6. Step 6: Final answer
    x = 336,734.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.