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Finding the Fourth Proportional to 527,458.70, 791,093.50 and 148,288.49

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Solution

The fourth proportional to 527,458.70, 791,093.50 and 148,288.49 is: 222,406.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,458.70 : 791,093.50 = 148,288.49 : x
  2. Step 2: Convert to fraction form
    527,458.70/791,093.50 = 148,288.49/x
  3. Step 3: Cross multiply
    527,458.70x = 791,093.50 × 148,288.49
  4. Step 4: Simplify right side
    527,458.70x = 117,310,060,038.35
  5. Step 5: Solve for x
    x = 117,310,060,038.35/527,458.70
  6. Step 6: Final answer
    x = 222,406.15

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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.