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Finding the Fourth Proportional to 613,568.84, 920,416.11 and 234,808.13

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Solution

The fourth proportional to 613,568.84, 920,416.11 and 234,808.13 is: 352,236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,568.84 : 920,416.11 = 234,808.13 : x
  2. Step 2: Convert to fraction form
    613,568.84/920,416.11 = 234,808.13/x
  3. Step 3: Cross multiply
    613,568.84x = 920,416.11 × 234,808.13
  4. Step 4: Simplify right side
    613,568.84x = 216,121,185,610.97
  5. Step 5: Solve for x
    x = 216,121,185,610.97/613,568.84
  6. Step 6: Final answer
    x = 352,236.25

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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.