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Finding the Fourth Proportional to 463,826.84, 695,254.67 and 194,109.51

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Solution

The fourth proportional to 463,826.84, 695,254.67 and 194,109.51 is: 290,961.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,826.84 : 695,254.67 = 194,109.51 : x
  2. Step 2: Convert to fraction form
    463,826.84/695,254.67 = 194,109.51/x
  3. Step 3: Cross multiply
    463,826.84x = 695,254.67 × 194,109.51
  4. Step 4: Simplify right side
    463,826.84x = 134,955,542,348.36
  5. Step 5: Solve for x
    x = 134,955,542,348.36/463,826.84
  6. Step 6: Final answer
    x = 290,961.05

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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.