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Finding the Fourth Proportional to 507,208.80, 760,264.02 and 329,843.10

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Solution

The fourth proportional to 507,208.80, 760,264.02 and 329,843.10 is: 494,407.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,208.80 : 760,264.02 = 329,843.10 : x
  2. Step 2: Convert to fraction form
    507,208.80/760,264.02 = 329,843.10/x
  3. Step 3: Cross multiply
    507,208.80x = 760,264.02 × 329,843.10
  4. Step 4: Simplify right side
    507,208.80x = 250,767,841,175.26
  5. Step 5: Solve for x
    x = 250,767,841,175.26/507,208.80
  6. Step 6: Final answer
    x = 494,407.51

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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.