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Finding the Fourth Proportional to 366,918.24, 506,317.68 and 203,580

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Solution

The fourth proportional to 366,918.24, 506,317.68 and 203,580 is: 280,924.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,918.24 : 506,317.68 = 203,580 : x
  2. Step 2: Convert to fraction form
    366,918.24/506,317.68 = 203,580/x
  3. Step 3: Cross multiply
    366,918.24x = 506,317.68 × 203,580
  4. Step 4: Simplify right side
    366,918.24x = 103,076,153,294.40
  5. Step 5: Solve for x
    x = 103,076,153,294.40/366,918.24
  6. Step 6: Final answer
    x = 280,924.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.