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Finding the Fourth Proportional to 413,210.66, 619,734.31 and 113,613.94

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Solution

The fourth proportional to 413,210.66, 619,734.31 and 113,613.94 is: 170,398.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,210.66 : 619,734.31 = 113,613.94 : x
  2. Step 2: Convert to fraction form
    413,210.66/619,734.31 = 113,613.94/x
  3. Step 3: Cross multiply
    413,210.66x = 619,734.31 × 113,613.94
  4. Step 4: Simplify right side
    413,210.66x = 70,410,456,712.28
  5. Step 5: Solve for x
    x = 70,410,456,712.28/413,210.66
  6. Step 6: Final answer
    x = 170,398.45

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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.