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Finding the Fourth Proportional to 495,301.80, 742,952.70 and 140,311.20

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Solution

The fourth proportional to 495,301.80, 742,952.70 and 140,311.20 is: 210,466.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,301.80 : 742,952.70 = 140,311.20 : x
  2. Step 2: Convert to fraction form
    495,301.80/742,952.70 = 140,311.20/x
  3. Step 3: Cross multiply
    495,301.80x = 742,952.70 × 140,311.20
  4. Step 4: Simplify right side
    495,301.80x = 104,244,584,880.24
  5. Step 5: Solve for x
    x = 104,244,584,880.24/495,301.80
  6. Step 6: Final answer
    x = 210,466.80

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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.