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Finding the Fourth Proportional to 523,074.88, 721,822.08 and 296,715.52

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Solution

The fourth proportional to 523,074.88, 721,822.08 and 296,715.52 is: 409,455.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,074.88 : 721,822.08 = 296,715.52 : x
  2. Step 2: Convert to fraction form
    523,074.88/721,822.08 = 296,715.52/x
  3. Step 3: Cross multiply
    523,074.88x = 721,822.08 × 296,715.52
  4. Step 4: Simplify right side
    523,074.88x = 214,175,813,814.68
  5. Step 5: Solve for x
    x = 214,175,813,814.68/523,074.88
  6. Step 6: Final answer
    x = 409,455.36

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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.