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Finding the Fourth Proportional to 651,068, 976,608.08 and 230,415.20

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Solution

The fourth proportional to 651,068, 976,608.08 and 230,415.20 is: 345,624.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,068 : 976,608.08 = 230,415.20 : x
  2. Step 2: Convert to fraction form
    651,068/976,608.08 = 230,415.20/x
  3. Step 3: Cross multiply
    651,068x = 976,608.08 × 230,415.20
  4. Step 4: Simplify right side
    651,068x = 225,025,346,074.82
  5. Step 5: Solve for x
    x = 225,025,346,074.82/651,068
  6. Step 6: Final answer
    x = 345,624.95

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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.