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Finding the Fourth Proportional to 600,408.59, 900,722.03 and 284,862.56

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Solution

The fourth proportional to 600,408.59, 900,722.03 and 284,862.56 is: 427,345.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,408.59 : 900,722.03 = 284,862.56 : x
  2. Step 2: Convert to fraction form
    600,408.59/900,722.03 = 284,862.56/x
  3. Step 3: Cross multiply
    600,408.59x = 900,722.03 × 284,862.56
  4. Step 4: Simplify right side
    600,408.59x = 256,581,977,386.27
  5. Step 5: Solve for x
    x = 256,581,977,386.27/600,408.59
  6. Step 6: Final answer
    x = 427,345.62

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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.