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Finding the Fourth Proportional to 865,118.78, 1,185,193.01 and 832,773.96

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Solution

The fourth proportional to 865,118.78, 1,185,193.01 and 832,773.96 is: 1,140,881.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,118.78 : 1,185,193.01 = 832,773.96 : x
  2. Step 2: Convert to fraction form
    865,118.78/1,185,193.01 = 832,773.96/x
  3. Step 3: Cross multiply
    865,118.78x = 1,185,193.01 × 832,773.96
  4. Step 4: Simplify right side
    865,118.78x = 986,997,878,383.96
  5. Step 5: Solve for x
    x = 986,997,878,383.96/865,118.78
  6. Step 6: Final answer
    x = 1,140,881.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.