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Finding the Fourth Proportional to 760,843.56, 1,049,956.56 and 411,982.20

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Solution

The fourth proportional to 760,843.56, 1,049,956.56 and 411,982.20 is: 568,531.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,843.56 : 1,049,956.56 = 411,982.20 : x
  2. Step 2: Convert to fraction form
    760,843.56/1,049,956.56 = 411,982.20/x
  3. Step 3: Cross multiply
    760,843.56x = 1,049,956.56 × 411,982.20
  4. Step 4: Simplify right side
    760,843.56x = 432,563,413,493.23
  5. Step 5: Solve for x
    x = 432,563,413,493.23/760,843.56
  6. Step 6: Final answer
    x = 568,531.35

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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.