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Finding the Fourth Proportional to 232,967.65, 349,412.55 and 64,505

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Solution

The fourth proportional to 232,967.65, 349,412.55 and 64,505 is: 96,746.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,967.65 : 349,412.55 = 64,505 : x
  2. Step 2: Convert to fraction form
    232,967.65/349,412.55 = 64,505/x
  3. Step 3: Cross multiply
    232,967.65x = 349,412.55 × 64,505
  4. Step 4: Simplify right side
    232,967.65x = 22,538,856,537.75
  5. Step 5: Solve for x
    x = 22,538,856,537.75/232,967.65
  6. Step 6: Final answer
    x = 96,746.72

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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.