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Finding the Fourth Proportional to 527,817.32, 791,661.99 and 148,766.48

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Solution

The fourth proportional to 527,817.32, 791,661.99 and 148,766.48 is: 223,131.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,817.32 : 791,661.99 = 148,766.48 : x
  2. Step 2: Convert to fraction form
    527,817.32/791,661.99 = 148,766.48/x
  3. Step 3: Cross multiply
    527,817.32x = 791,661.99 × 148,766.48
  4. Step 4: Simplify right side
    527,817.32x = 117,772,767,602.10
  5. Step 5: Solve for x
    x = 117,772,767,602.10/527,817.32
  6. Step 6: Final answer
    x = 223,131.68

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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.