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Finding the Fourth Proportional to 366,813.80, 506,223.92 and 205,661.04

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Solution

The fourth proportional to 366,813.80, 506,223.92 and 205,661.04 is: 283,823.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,813.80 : 506,223.92 = 205,661.04 : x
  2. Step 2: Convert to fraction form
    366,813.80/506,223.92 = 205,661.04/x
  3. Step 3: Cross multiply
    366,813.80x = 506,223.92 × 205,661.04
  4. Step 4: Simplify right side
    366,813.80x = 104,110,537,860.08
  5. Step 5: Solve for x
    x = 104,110,537,860.08/366,813.80
  6. Step 6: Final answer
    x = 283,823.94

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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.