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Finding the Fourth Proportional to 506,307.88, 759,577.02 and 269,525.80

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Solution

The fourth proportional to 506,307.88, 759,577.02 and 269,525.80 is: 404,350.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,307.88 : 759,577.02 = 269,525.80 : x
  2. Step 2: Convert to fraction form
    506,307.88/759,577.02 = 269,525.80/x
  3. Step 3: Cross multiply
    506,307.88x = 759,577.02 × 269,525.80
  4. Step 4: Simplify right side
    506,307.88x = 204,725,603,977.12
  5. Step 5: Solve for x
    x = 204,725,603,977.12/506,307.88
  6. Step 6: Final answer
    x = 404,350.03

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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.