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Finding the Fourth Proportional to 442,178.08, 610,222.14 and 251,223.88

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Solution

The fourth proportional to 442,178.08, 610,222.14 and 251,223.88 is: 346,698.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,178.08 : 610,222.14 = 251,223.88 : x
  2. Step 2: Convert to fraction form
    442,178.08/610,222.14 = 251,223.88/x
  3. Step 3: Cross multiply
    442,178.08x = 610,222.14 × 251,223.88
  4. Step 4: Simplify right side
    442,178.08x = 153,302,373,672.70
  5. Step 5: Solve for x
    x = 153,302,373,672.70/442,178.08
  6. Step 6: Final answer
    x = 346,698.27

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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.