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Finding the Fourth Proportional to 750,853.84, 1,036,204.17 and 411,322.09

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Solution

The fourth proportional to 750,853.84, 1,036,204.17 and 411,322.09 is: 567,638.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,853.84 : 1,036,204.17 = 411,322.09 : x
  2. Step 2: Convert to fraction form
    750,853.84/1,036,204.17 = 411,322.09/x
  3. Step 3: Cross multiply
    750,853.84x = 1,036,204.17 × 411,322.09
  4. Step 4: Simplify right side
    750,853.84x = 426,213,664,871.12
  5. Step 5: Solve for x
    x = 426,213,664,871.12/750,853.84
  6. Step 6: Final answer
    x = 567,638.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.