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Finding the Fourth Proportional to 488,311.40, 732,899.10 and 288,381.80

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Solution

The fourth proportional to 488,311.40, 732,899.10 and 288,381.80 is: 432,827.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,311.40 : 732,899.10 = 288,381.80 : x
  2. Step 2: Convert to fraction form
    488,311.40/732,899.10 = 288,381.80/x
  3. Step 3: Cross multiply
    488,311.40x = 732,899.10 × 288,381.80
  4. Step 4: Simplify right side
    488,311.40x = 211,354,761,676.38
  5. Step 5: Solve for x
    x = 211,354,761,676.38/488,311.40
  6. Step 6: Final answer
    x = 432,827.83

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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.