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Finding the Fourth Proportional to 261,024.80, 364,647.40 and 261,024.80

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Solution

The fourth proportional to 261,024.80, 364,647.40 and 261,024.80 is: 364,647.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,024.80 : 364,647.40 = 261,024.80 : x
  2. Step 2: Convert to fraction form
    261,024.80/364,647.40 = 261,024.80/x
  3. Step 3: Cross multiply
    261,024.80x = 364,647.40 × 261,024.80
  4. Step 4: Simplify right side
    261,024.80x = 95,182,014,655.52
  5. Step 5: Solve for x
    x = 95,182,014,655.52/261,024.80
  6. Step 6: Final answer
    x = 364,647.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.