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Finding the Fourth Proportional to 403,793.80, 605,690.70 and 309,315.40

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Solution

The fourth proportional to 403,793.80, 605,690.70 and 309,315.40 is: 463,973.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,793.80 : 605,690.70 = 309,315.40 : x
  2. Step 2: Convert to fraction form
    403,793.80/605,690.70 = 309,315.40/x
  3. Step 3: Cross multiply
    403,793.80x = 605,690.70 × 309,315.40
  4. Step 4: Simplify right side
    403,793.80x = 187,349,461,146.78
  5. Step 5: Solve for x
    x = 187,349,461,146.78/403,793.80
  6. Step 6: Final answer
    x = 463,973.10

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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.