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Finding the Fourth Proportional to 488,718.40, 732,494.40 and 204,408.40

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Solution

The fourth proportional to 488,718.40, 732,494.40 and 204,408.40 is: 306,368.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,718.40 : 732,494.40 = 204,408.40 : x
  2. Step 2: Convert to fraction form
    488,718.40/732,494.40 = 204,408.40/x
  3. Step 3: Cross multiply
    488,718.40x = 732,494.40 × 204,408.40
  4. Step 4: Simplify right side
    488,718.40x = 149,728,008,312.96
  5. Step 5: Solve for x
    x = 149,728,008,312.96/488,718.40
  6. Step 6: Final answer
    x = 306,368.67

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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.