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Finding the Fourth Proportional to 322,405.10, 483,607.65 and 319,294.70

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Solution

The fourth proportional to 322,405.10, 483,607.65 and 319,294.70 is: 478,942.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,405.10 : 483,607.65 = 319,294.70 : x
  2. Step 2: Convert to fraction form
    322,405.10/483,607.65 = 319,294.70/x
  3. Step 3: Cross multiply
    322,405.10x = 483,607.65 × 319,294.70
  4. Step 4: Simplify right side
    322,405.10x = 154,413,359,524.46
  5. Step 5: Solve for x
    x = 154,413,359,524.46/322,405.10
  6. Step 6: Final answer
    x = 478,942.05

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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.