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Finding the Fourth Proportional to 366,675.31, 506,035.32 and 205,530.40

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Solution

The fourth proportional to 366,675.31, 506,035.32 and 205,530.40 is: 283,645.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,675.31 : 506,035.32 = 205,530.40 : x
  2. Step 2: Convert to fraction form
    366,675.31/506,035.32 = 205,530.40/x
  3. Step 3: Cross multiply
    366,675.31x = 506,035.32 × 205,530.40
  4. Step 4: Simplify right side
    366,675.31x = 104,005,640,706.08
  5. Step 5: Solve for x
    x = 104,005,640,706.08/366,675.31
  6. Step 6: Final answer
    x = 283,645.06

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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.