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Finding the Fourth Proportional to 341,298.30, 470,987.82 and 188,337.66

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Solution

The fourth proportional to 341,298.30, 470,987.82 and 188,337.66 is: 259,903.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,298.30 : 470,987.82 = 188,337.66 : x
  2. Step 2: Convert to fraction form
    341,298.30/470,987.82 = 188,337.66/x
  3. Step 3: Cross multiply
    341,298.30x = 470,987.82 × 188,337.66
  4. Step 4: Simplify right side
    341,298.30x = 88,704,743,907.30
  5. Step 5: Solve for x
    x = 88,704,743,907.30/341,298.30
  6. Step 6: Final answer
    x = 259,903.86

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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.