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Finding the Fourth Proportional to 299,599.13, 413,172.98 and 234,196.59

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Solution

The fourth proportional to 299,599.13, 413,172.98 and 234,196.59 is: 322,977.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,599.13 : 413,172.98 = 234,196.59 : x
  2. Step 2: Convert to fraction form
    299,599.13/413,172.98 = 234,196.59/x
  3. Step 3: Cross multiply
    299,599.13x = 413,172.98 × 234,196.59
  4. Step 4: Simplify right side
    299,599.13x = 96,763,702,996.14
  5. Step 5: Solve for x
    x = 96,763,702,996.14/299,599.13
  6. Step 6: Final answer
    x = 322,977.25

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1.5x scale

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.