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Finding the Fourth Proportional to 411,522.74, 567,775.38 and 268,230.50

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Solution

The fourth proportional to 411,522.74, 567,775.38 and 268,230.50 is: 370,075.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,522.74 : 567,775.38 = 268,230.50 : x
  2. Step 2: Convert to fraction form
    411,522.74/567,775.38 = 268,230.50/x
  3. Step 3: Cross multiply
    411,522.74x = 567,775.38 × 268,230.50
  4. Step 4: Simplify right side
    411,522.74x = 152,294,674,065.09
  5. Step 5: Solve for x
    x = 152,294,674,065.09/411,522.74
  6. Step 6: Final answer
    x = 370,075.96

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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.