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Finding the Fourth Proportional to 495,909.40, 743,864.10 and 474,914.20

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Solution

The fourth proportional to 495,909.40, 743,864.10 and 474,914.20 is: 712,371.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,909.40 : 743,864.10 = 474,914.20 : x
  2. Step 2: Convert to fraction form
    495,909.40/743,864.10 = 474,914.20/x
  3. Step 3: Cross multiply
    495,909.40x = 743,864.10 × 474,914.20
  4. Step 4: Simplify right side
    495,909.40x = 353,271,623,960.22
  5. Step 5: Solve for x
    x = 353,271,623,960.22/495,909.40
  6. Step 6: Final answer
    x = 712,371.30

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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.