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Finding the Fourth Proportional to 401,206.80, 601,421.40 and 164,233.20

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Solution

The fourth proportional to 401,206.80, 601,421.40 and 164,233.20 is: 246,190.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,206.80 : 601,421.40 = 164,233.20 : x
  2. Step 2: Convert to fraction form
    401,206.80/601,421.40 = 164,233.20/x
  3. Step 3: Cross multiply
    401,206.80x = 601,421.40 × 164,233.20
  4. Step 4: Simplify right side
    401,206.80x = 98,773,361,070.48
  5. Step 5: Solve for x
    x = 98,773,361,070.48/401,206.80
  6. Step 6: Final answer
    x = 246,190.65

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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.