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Finding the Fourth Proportional to 495,265.51, 742,861.92 and 158,215.64

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Solution

The fourth proportional to 495,265.51, 742,861.92 and 158,215.64 is: 237,311.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,265.51 : 742,861.92 = 158,215.64 : x
  2. Step 2: Convert to fraction form
    495,265.51/742,861.92 = 158,215.64/x
  3. Step 3: Cross multiply
    495,265.51x = 742,861.92 × 158,215.64
  4. Step 4: Simplify right side
    495,265.51x = 117,532,374,104.43
  5. Step 5: Solve for x
    x = 117,532,374,104.43/495,265.51
  6. Step 6: Final answer
    x = 237,311.85

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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.