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Finding the Fourth Proportional to 288,029.86, 397,417.59 and 167,101.11

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Solution

The fourth proportional to 288,029.86, 397,417.59 and 167,101.11 is: 230,562.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,029.86 : 397,417.59 = 167,101.11 : x
  2. Step 2: Convert to fraction form
    288,029.86/397,417.59 = 167,101.11/x
  3. Step 3: Cross multiply
    288,029.86x = 397,417.59 × 167,101.11
  4. Step 4: Simplify right side
    288,029.86x = 66,408,920,422.52
  5. Step 5: Solve for x
    x = 66,408,920,422.52/288,029.86
  6. Step 6: Final answer
    x = 230,562.63

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1.5x scale

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.