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Finding the Fourth Proportional to 401,070.80, 601,606.20 and 322,338.80

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Solution

The fourth proportional to 401,070.80, 601,606.20 and 322,338.80 is: 483,508.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,070.80 : 601,606.20 = 322,338.80 : x
  2. Step 2: Convert to fraction form
    401,070.80/601,606.20 = 322,338.80/x
  3. Step 3: Cross multiply
    401,070.80x = 601,606.20 × 322,338.80
  4. Step 4: Simplify right side
    401,070.80x = 193,921,020,580.56
  5. Step 5: Solve for x
    x = 193,921,020,580.56/401,070.80
  6. Step 6: Final answer
    x = 483,508.20

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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.