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Finding the Fourth Proportional to 524,414.79, 723,687.16 and 291,837.80

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Solution

The fourth proportional to 524,414.79, 723,687.16 and 291,837.80 is: 402,733.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,414.79 : 723,687.16 = 291,837.80 : x
  2. Step 2: Convert to fraction form
    524,414.79/723,687.16 = 291,837.80/x
  3. Step 3: Cross multiply
    524,414.79x = 723,687.16 × 291,837.80
  4. Step 4: Simplify right side
    524,414.79x = 211,199,267,236.41
  5. Step 5: Solve for x
    x = 211,199,267,236.41/524,414.79
  6. Step 6: Final answer
    x = 402,733.24

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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.