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Finding the Fourth Proportional to 401,337.90, 602,298.45 and 164,850.30

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Solution

The fourth proportional to 401,337.90, 602,298.45 and 164,850.30 is: 247,395.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,337.90 : 602,298.45 = 164,850.30 : x
  2. Step 2: Convert to fraction form
    401,337.90/602,298.45 = 164,850.30/x
  3. Step 3: Cross multiply
    401,337.90x = 602,298.45 × 164,850.30
  4. Step 4: Simplify right side
    401,337.90x = 99,289,080,172.04
  5. Step 5: Solve for x
    x = 99,289,080,172.04/401,337.90
  6. Step 6: Final answer
    x = 247,395.23

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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.