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Finding the Fourth Proportional to 523,075.88, 721,823.46 and 296,716.52

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Solution

The fourth proportional to 523,075.88, 721,823.46 and 296,716.52 is: 409,456.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,075.88 : 721,823.46 = 296,716.52 : x
  2. Step 2: Convert to fraction form
    523,075.88/721,823.46 = 296,716.52/x
  3. Step 3: Cross multiply
    523,075.88x = 721,823.46 × 296,716.52
  4. Step 4: Simplify right side
    523,075.88x = 214,176,945,105.56
  5. Step 5: Solve for x
    x = 214,176,945,105.56/523,075.88
  6. Step 6: Final answer
    x = 409,456.74

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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.