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Finding the Fourth Proportional to 458,304.40, 686,074.20 and 403,008.40

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Solution

The fourth proportional to 458,304.40, 686,074.20 and 403,008.40 is: 603,296.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,304.40 : 686,074.20 = 403,008.40 : x
  2. Step 2: Convert to fraction form
    458,304.40/686,074.20 = 403,008.40/x
  3. Step 3: Cross multiply
    458,304.40x = 686,074.20 × 403,008.40
  4. Step 4: Simplify right side
    458,304.40x = 276,493,665,623.28
  5. Step 5: Solve for x
    x = 276,493,665,623.28/458,304.40
  6. Step 6: Final answer
    x = 603,296.99

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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.