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Finding the Fourth Proportional to 369,341.02, 509,734.14 and 206,023.25

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Solution

The fourth proportional to 369,341.02, 509,734.14 and 206,023.25 is: 284,336.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,341.02 : 509,734.14 = 206,023.25 : x
  2. Step 2: Convert to fraction form
    369,341.02/509,734.14 = 206,023.25/x
  3. Step 3: Cross multiply
    369,341.02x = 509,734.14 × 206,023.25
  4. Step 4: Simplify right side
    369,341.02x = 105,017,084,158.76
  5. Step 5: Solve for x
    x = 105,017,084,158.76/369,341.02
  6. Step 6: Final answer
    x = 284,336.37

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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.