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Finding the Fourth Proportional to 401,476.20, 602,214.30 and 322,744.20

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Solution

The fourth proportional to 401,476.20, 602,214.30 and 322,744.20 is: 484,116.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,476.20 : 602,214.30 = 322,744.20 : x
  2. Step 2: Convert to fraction form
    401,476.20/602,214.30 = 322,744.20/x
  3. Step 3: Cross multiply
    401,476.20x = 602,214.30 × 322,744.20
  4. Step 4: Simplify right side
    401,476.20x = 194,361,172,482.06
  5. Step 5: Solve for x
    x = 194,361,172,482.06/401,476.20
  6. Step 6: Final answer
    x = 484,116.30

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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.