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Finding the Fourth Proportional to 804,682, 1,205,185.38 and 384,253.12

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Solution

The fourth proportional to 804,682, 1,205,185.38 and 384,253.12 is: 575,502.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,682 : 1,205,185.38 = 384,253.12 : x
  2. Step 2: Convert to fraction form
    804,682/1,205,185.38 = 384,253.12/x
  3. Step 3: Cross multiply
    804,682x = 1,205,185.38 × 384,253.12
  4. Step 4: Simplify right side
    804,682x = 463,096,242,443.39
  5. Step 5: Solve for x
    x = 463,096,242,443.39/804,682
  6. Step 6: Final answer
    x = 575,502.18

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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.