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Finding the Fourth Proportional to 529,660, 794,497.29 and 293,464

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Solution

The fourth proportional to 529,660, 794,497.29 and 293,464 is: 440,200.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,660 : 794,497.29 = 293,464 : x
  2. Step 2: Convert to fraction form
    529,660/794,497.29 = 293,464/x
  3. Step 3: Cross multiply
    529,660x = 794,497.29 × 293,464
  4. Step 4: Simplify right side
    529,660x = 233,156,352,712.56
  5. Step 5: Solve for x
    x = 233,156,352,712.56/529,660
  6. Step 6: Final answer
    x = 440,200.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.