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Finding the Fourth Proportional to 614,709.93, 922,064.88 and 165,431.79

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Solution

The fourth proportional to 614,709.93, 922,064.88 and 165,431.79 is: 248,147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,709.93 : 922,064.88 = 165,431.79 : x
  2. Step 2: Convert to fraction form
    614,709.93/922,064.88 = 165,431.79/x
  3. Step 3: Cross multiply
    614,709.93x = 922,064.88 × 165,431.79
  4. Step 4: Simplify right side
    614,709.93x = 152,538,843,594.54
  5. Step 5: Solve for x
    x = 152,538,843,594.54/614,709.93
  6. Step 6: Final answer
    x = 248,147.68

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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.