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Finding the Fourth Proportional to 401,396.80, 602,095.20 and 164,909.20

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Solution

The fourth proportional to 401,396.80, 602,095.20 and 164,909.20 is: 247,363.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,396.80 : 602,095.20 = 164,909.20 : x
  2. Step 2: Convert to fraction form
    401,396.80/602,095.20 = 164,909.20/x
  3. Step 3: Cross multiply
    401,396.80x = 602,095.20 × 164,909.20
  4. Step 4: Simplify right side
    401,396.80x = 99,291,037,755.84
  5. Step 5: Solve for x
    x = 99,291,037,755.84/401,396.80
  6. Step 6: Final answer
    x = 247,363.80

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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.