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Finding the Fourth Proportional to 385,083.84, 531,577.44 and 234,233.28

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Solution

The fourth proportional to 385,083.84, 531,577.44 and 234,233.28 is: 323,340.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,083.84 : 531,577.44 = 234,233.28 : x
  2. Step 2: Convert to fraction form
    385,083.84/531,577.44 = 234,233.28/x
  3. Step 3: Cross multiply
    385,083.84x = 531,577.44 × 234,233.28
  4. Step 4: Simplify right side
    385,083.84x = 124,513,127,345.20
  5. Step 5: Solve for x
    x = 124,513,127,345.20/385,083.84
  6. Step 6: Final answer
    x = 323,340.31

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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.