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Finding the Fourth Proportional to 366,675.81, 506,036 and 205,530.90

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Solution

The fourth proportional to 366,675.81, 506,036 and 205,530.90 is: 283,645.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,675.81 : 506,036 = 205,530.90 : x
  2. Step 2: Convert to fraction form
    366,675.81/506,036 = 205,530.90/x
  3. Step 3: Cross multiply
    366,675.81x = 506,036 × 205,530.90
  4. Step 4: Simplify right side
    366,675.81x = 104,006,034,512.40
  5. Step 5: Solve for x
    x = 104,006,034,512.40/366,675.81
  6. Step 6: Final answer
    x = 283,645.75

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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.