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Finding the Fourth Proportional to 469,537.60, 704,306.40 and 188,910.40

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Solution

The fourth proportional to 469,537.60, 704,306.40 and 188,910.40 is: 283,365.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,537.60 : 704,306.40 = 188,910.40 : x
  2. Step 2: Convert to fraction form
    469,537.60/704,306.40 = 188,910.40/x
  3. Step 3: Cross multiply
    469,537.60x = 704,306.40 × 188,910.40
  4. Step 4: Simplify right side
    469,537.60x = 133,050,803,746.56
  5. Step 5: Solve for x
    x = 133,050,803,746.56/469,537.60
  6. Step 6: Final answer
    x = 283,365.60

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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.