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Finding the Fourth Proportional to 295,981.60, 444,447.60 and 274,151.20

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Solution

The fourth proportional to 295,981.60, 444,447.60 and 274,151.20 is: 411,666.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,981.60 : 444,447.60 = 274,151.20 : x
  2. Step 2: Convert to fraction form
    295,981.60/444,447.60 = 274,151.20/x
  3. Step 3: Cross multiply
    295,981.60x = 444,447.60 × 274,151.20
  4. Step 4: Simplify right side
    295,981.60x = 121,845,842,877.12
  5. Step 5: Solve for x
    x = 121,845,842,877.12/295,981.60
  6. Step 6: Final answer
    x = 411,666.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.