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Finding the Fourth Proportional to 529,659, 794,495.79 and 293,463

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Solution

The fourth proportional to 529,659, 794,495.79 and 293,463 is: 440,198.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,659 : 794,495.79 = 293,463 : x
  2. Step 2: Convert to fraction form
    529,659/794,495.79 = 293,463/x
  3. Step 3: Cross multiply
    529,659x = 794,495.79 × 293,463
  4. Step 4: Simplify right side
    529,659x = 233,155,118,020.77
  5. Step 5: Solve for x
    x = 233,155,118,020.77/529,659
  6. Step 6: Final answer
    x = 440,198.54

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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.