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Finding the Fourth Proportional to 242,008.40, 363,024.48 and 64,517

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Solution

The fourth proportional to 242,008.40, 363,024.48 and 64,517 is: 96,778.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,008.40 : 363,024.48 = 64,517 : x
  2. Step 2: Convert to fraction form
    242,008.40/363,024.48 = 64,517/x
  3. Step 3: Cross multiply
    242,008.40x = 363,024.48 × 64,517
  4. Step 4: Simplify right side
    242,008.40x = 23,421,250,376.16
  5. Step 5: Solve for x
    x = 23,421,250,376.16/242,008.40
  6. Step 6: Final answer
    x = 96,778.67

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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.