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Finding the Fourth Proportional to 233,066.73, 349,599.10 and 64,586.57

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Solution

The fourth proportional to 233,066.73, 349,599.10 and 64,586.57 is: 96,879.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,066.73 : 349,599.10 = 64,586.57 : x
  2. Step 2: Convert to fraction form
    233,066.73/349,599.10 = 64,586.57/x
  3. Step 3: Cross multiply
    233,066.73x = 349,599.10 × 64,586.57
  4. Step 4: Simplify right side
    233,066.73x = 22,579,408,233.22
  5. Step 5: Solve for x
    x = 22,579,408,233.22/233,066.73
  6. Step 6: Final answer
    x = 96,879.58

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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.