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Finding the Fourth Proportional to 401,075.20, 601,612.80 and 322,343.20

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Solution

The fourth proportional to 401,075.20, 601,612.80 and 322,343.20 is: 483,514.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,075.20 : 601,612.80 = 322,343.20 : x
  2. Step 2: Convert to fraction form
    401,075.20/601,612.80 = 322,343.20/x
  3. Step 3: Cross multiply
    401,075.20x = 601,612.80 × 322,343.20
  4. Step 4: Simplify right side
    401,075.20x = 193,925,795,112.96
  5. Step 5: Solve for x
    x = 193,925,795,112.96/401,075.20
  6. Step 6: Final answer
    x = 483,514.80

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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.