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Finding the Fourth Proportional to 254,209.86, 381,316.97 and 64,670.40

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Solution

The fourth proportional to 254,209.86, 381,316.97 and 64,670.40 is: 97,006.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,209.86 : 381,316.97 = 64,670.40 : x
  2. Step 2: Convert to fraction form
    254,209.86/381,316.97 = 64,670.40/x
  3. Step 3: Cross multiply
    254,209.86x = 381,316.97 × 64,670.40
  4. Step 4: Simplify right side
    254,209.86x = 24,659,920,653.34
  5. Step 5: Solve for x
    x = 24,659,920,653.34/254,209.86
  6. Step 6: Final answer
    x = 97,006.15

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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.