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Finding the Fourth Proportional to 366,732.86, 506,088.24 and 205,587.44

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Solution

The fourth proportional to 366,732.86, 506,088.24 and 205,587.44 is: 283,708.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,732.86 : 506,088.24 = 205,587.44 : x
  2. Step 2: Convert to fraction form
    366,732.86/506,088.24 = 205,587.44/x
  3. Step 3: Cross multiply
    366,732.86x = 506,088.24 × 205,587.44
  4. Step 4: Simplify right side
    366,732.86x = 104,045,385,675.71
  5. Step 5: Solve for x
    x = 104,045,385,675.71/366,732.86
  6. Step 6: Final answer
    x = 283,708.93

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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.