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Finding the Fourth Proportional to 409,075.20, 613,036.80 and 324,979.20

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Solution

The fourth proportional to 409,075.20, 613,036.80 and 324,979.20 is: 487,011.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,075.20 : 613,036.80 = 324,979.20 : x
  2. Step 2: Convert to fraction form
    409,075.20/613,036.80 = 324,979.20/x
  3. Step 3: Cross multiply
    409,075.20x = 613,036.80 × 324,979.20
  4. Step 4: Simplify right side
    409,075.20x = 199,224,208,834.56
  5. Step 5: Solve for x
    x = 199,224,208,834.56/409,075.20
  6. Step 6: Final answer
    x = 487,011.21

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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.