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Finding the Fourth Proportional to 367,080.06, 506,574 and 205,938.60

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Solution

The fourth proportional to 367,080.06, 506,574 and 205,938.60 is: 284,197.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,080.06 : 506,574 = 205,938.60 : x
  2. Step 2: Convert to fraction form
    367,080.06/506,574 = 205,938.60/x
  3. Step 3: Cross multiply
    367,080.06x = 506,574 × 205,938.60
  4. Step 4: Simplify right side
    367,080.06x = 104,323,140,356.40
  5. Step 5: Solve for x
    x = 104,323,140,356.40/367,080.06
  6. Step 6: Final answer
    x = 284,197.24

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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.