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Finding the Fourth Proportional to 409,075.60, 564,593.16 and 263,840.56

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Solution

The fourth proportional to 409,075.60, 564,593.16 and 263,840.56 is: 364,144.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,075.60 : 564,593.16 = 263,840.56 : x
  2. Step 2: Convert to fraction form
    409,075.60/564,593.16 = 263,840.56/x
  3. Step 3: Cross multiply
    409,075.60x = 564,593.16 × 263,840.56
  4. Step 4: Simplify right side
    409,075.60x = 148,962,575,506.57
  5. Step 5: Solve for x
    x = 148,962,575,506.57/409,075.60
  6. Step 6: Final answer
    x = 364,144.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.