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Finding the Fourth Proportional to 288,878.32, 433,468.60 and 118,226.71

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Solution

The fourth proportional to 288,878.32, 433,468.60 and 118,226.71 is: 177,401.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,878.32 : 433,468.60 = 118,226.71 : x
  2. Step 2: Convert to fraction form
    288,878.32/433,468.60 = 118,226.71/x
  3. Step 3: Cross multiply
    288,878.32x = 433,468.60 × 118,226.71
  4. Step 4: Simplify right side
    288,878.32x = 51,247,568,430.47
  5. Step 5: Solve for x
    x = 51,247,568,430.47/288,878.32
  6. Step 6: Final answer
    x = 177,401.92

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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.