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Finding the Fourth Proportional to 527,818.32, 791,663.49 and 148,767.48

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Solution

The fourth proportional to 527,818.32, 791,663.49 and 148,767.48 is: 223,133.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,818.32 : 791,663.49 = 148,767.48 : x
  2. Step 2: Convert to fraction form
    527,818.32/791,663.49 = 148,767.48/x
  3. Step 3: Cross multiply
    527,818.32x = 791,663.49 × 148,767.48
  4. Step 4: Simplify right side
    527,818.32x = 117,773,782,415.31
  5. Step 5: Solve for x
    x = 117,773,782,415.31/527,818.32
  6. Step 6: Final answer
    x = 223,133.18

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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.