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Finding the Fourth Proportional to 288,575.40, 433,081.80 and 188,702.40

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Solution

The fourth proportional to 288,575.40, 433,081.80 and 188,702.40 is: 283,196.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,575.40 : 433,081.80 = 188,702.40 : x
  2. Step 2: Convert to fraction form
    288,575.40/433,081.80 = 188,702.40/x
  3. Step 3: Cross multiply
    288,575.40x = 433,081.80 × 188,702.40
  4. Step 4: Simplify right side
    288,575.40x = 81,723,575,056.32
  5. Step 5: Solve for x
    x = 81,723,575,056.32/288,575.40
  6. Step 6: Final answer
    x = 283,196.61

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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.