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Finding the Fourth Proportional to 230,474, 345,769.32 and 64,262

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Solution

The fourth proportional to 230,474, 345,769.32 and 64,262 is: 96,409.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,474 : 345,769.32 = 64,262 : x
  2. Step 2: Convert to fraction form
    230,474/345,769.32 = 64,262/x
  3. Step 3: Cross multiply
    230,474x = 345,769.32 × 64,262
  4. Step 4: Simplify right side
    230,474x = 22,219,828,041.84
  5. Step 5: Solve for x
    x = 22,219,828,041.84/230,474
  6. Step 6: Final answer
    x = 96,409.26

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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.