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Finding the Fourth Proportional to 488,461.80, 732,347.10 and 188,826.60

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Solution

The fourth proportional to 488,461.80, 732,347.10 and 188,826.60 is: 283,106.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,461.80 : 732,347.10 = 188,826.60 : x
  2. Step 2: Convert to fraction form
    488,461.80/732,347.10 = 188,826.60/x
  3. Step 3: Cross multiply
    488,461.80x = 732,347.10 × 188,826.60
  4. Step 4: Simplify right side
    488,461.80x = 138,286,612,912.86
  5. Step 5: Solve for x
    x = 138,286,612,912.86/488,461.80
  6. Step 6: Final answer
    x = 283,106.30

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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.