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Finding the Fourth Proportional to 523,617.30, 722,595.33 and 297,266.58

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Solution

The fourth proportional to 523,617.30, 722,595.33 and 297,266.58 is: 410,229.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,617.30 : 722,595.33 = 297,266.58 : x
  2. Step 2: Convert to fraction form
    523,617.30/722,595.33 = 297,266.58/x
  3. Step 3: Cross multiply
    523,617.30x = 722,595.33 × 297,266.58
  4. Step 4: Simplify right side
    523,617.30x = 214,803,442,473.07
  5. Step 5: Solve for x
    x = 214,803,442,473.07/523,617.30
  6. Step 6: Final answer
    x = 410,229.84

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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.