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Finding the Fourth Proportional to 401,150.40, 602,065.80 and 164,662.80

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Solution

The fourth proportional to 401,150.40, 602,065.80 and 164,662.80 is: 247,133.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,150.40 : 602,065.80 = 164,662.80 : x
  2. Step 2: Convert to fraction form
    401,150.40/602,065.80 = 164,662.80/x
  3. Step 3: Cross multiply
    401,150.40x = 602,065.80 × 164,662.80
  4. Step 4: Simplify right side
    401,150.40x = 99,137,840,412.24
  5. Step 5: Solve for x
    x = 99,137,840,412.24/401,150.40
  6. Step 6: Final answer
    x = 247,133.84

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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.