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Finding the Fourth Proportional to 527,842.60, 791,809.76 and 148,765.84

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Solution

The fourth proportional to 527,842.60, 791,809.76 and 148,765.84 is: 223,161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,842.60 : 791,809.76 = 148,765.84 : x
  2. Step 2: Convert to fraction form
    527,842.60/791,809.76 = 148,765.84/x
  3. Step 3: Cross multiply
    527,842.60x = 791,809.76 × 148,765.84
  4. Step 4: Simplify right side
    527,842.60x = 117,794,242,458.99
  5. Step 5: Solve for x
    x = 117,794,242,458.99/527,842.60
  6. Step 6: Final answer
    x = 223,161.68

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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.