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Finding the Fourth Proportional to 495,847.80, 744,462.90 and 309,223.80

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Solution

The fourth proportional to 495,847.80, 744,462.90 and 309,223.80 is: 464,266.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,847.80 : 744,462.90 = 309,223.80 : x
  2. Step 2: Convert to fraction form
    495,847.80/744,462.90 = 309,223.80/x
  3. Step 3: Cross multiply
    495,847.80x = 744,462.90 × 309,223.80
  4. Step 4: Simplify right side
    495,847.80x = 230,205,646,897.02
  5. Step 5: Solve for x
    x = 230,205,646,897.02/495,847.80
  6. Step 6: Final answer
    x = 464,266.75

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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.