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Finding the Fourth Proportional to 523,344.17, 722,232.38 and 293,941.82

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Solution

The fourth proportional to 523,344.17, 722,232.38 and 293,941.82 is: 405,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,344.17 : 722,232.38 = 293,941.82 : x
  2. Step 2: Convert to fraction form
    523,344.17/722,232.38 = 293,941.82/x
  3. Step 3: Cross multiply
    523,344.17x = 722,232.38 × 293,941.82
  4. Step 4: Simplify right side
    523,344.17x = 212,294,300,240.13
  5. Step 5: Solve for x
    x = 212,294,300,240.13/523,344.17
  6. Step 6: Final answer
    x = 405,649.50

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1.5x scale

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.