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Finding the Fourth Proportional to 321,454.40, 482,181.60 and 307,803.20

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Solution

The fourth proportional to 321,454.40, 482,181.60 and 307,803.20 is: 461,704.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,454.40 : 482,181.60 = 307,803.20 : x
  2. Step 2: Convert to fraction form
    321,454.40/482,181.60 = 307,803.20/x
  3. Step 3: Cross multiply
    321,454.40x = 482,181.60 × 307,803.20
  4. Step 4: Simplify right side
    321,454.40x = 148,417,039,461.12
  5. Step 5: Solve for x
    x = 148,417,039,461.12/321,454.40
  6. Step 6: Final answer
    x = 461,704.80

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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.