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Finding the Fourth Proportional to 652,024.66, 899,837.31 and 365,563.30

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Solution

The fourth proportional to 652,024.66, 899,837.31 and 365,563.30 is: 504,501.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,024.66 : 899,837.31 = 365,563.30 : x
  2. Step 2: Convert to fraction form
    652,024.66/899,837.31 = 365,563.30/x
  3. Step 3: Cross multiply
    652,024.66x = 899,837.31 × 365,563.30
  4. Step 4: Simplify right side
    652,024.66x = 328,947,496,506.72
  5. Step 5: Solve for x
    x = 328,947,496,506.72/652,024.66
  6. Step 6: Final answer
    x = 504,501.62

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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.