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Finding the Fourth Proportional to 523,271.44, 722,214.12 and 296,938

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Solution

The fourth proportional to 523,271.44, 722,214.12 and 296,938 is: 409,830.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,271.44 : 722,214.12 = 296,938 : x
  2. Step 2: Convert to fraction form
    523,271.44/722,214.12 = 296,938/x
  3. Step 3: Cross multiply
    523,271.44x = 722,214.12 × 296,938
  4. Step 4: Simplify right side
    523,271.44x = 214,452,816,364.56
  5. Step 5: Solve for x
    x = 214,452,816,364.56/523,271.44
  6. Step 6: Final answer
    x = 409,830.92

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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.