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Finding the Fourth Proportional to 401,065.74, 601,599.42 and 164,365.92

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Solution

The fourth proportional to 401,065.74, 601,599.42 and 164,365.92 is: 246,549.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,065.74 : 601,599.42 = 164,365.92 : x
  2. Step 2: Convert to fraction form
    401,065.74/601,599.42 = 164,365.92/x
  3. Step 3: Cross multiply
    401,065.74x = 601,599.42 × 164,365.92
  4. Step 4: Simplify right side
    401,065.74x = 98,882,442,139.77
  5. Step 5: Solve for x
    x = 98,882,442,139.77/401,065.74
  6. Step 6: Final answer
    x = 246,549.21

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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.