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Finding the Fourth Proportional to 419,168.17, 578,452.08 and 228,182.95

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Solution

The fourth proportional to 419,168.17, 578,452.08 and 228,182.95 is: 314,892.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,168.17 : 578,452.08 = 228,182.95 : x
  2. Step 2: Convert to fraction form
    419,168.17/578,452.08 = 228,182.95/x
  3. Step 3: Cross multiply
    419,168.17x = 578,452.08 × 228,182.95
  4. Step 4: Simplify right side
    419,168.17x = 131,992,902,048.04
  5. Step 5: Solve for x
    x = 131,992,902,048.04/419,168.17
  6. Step 6: Final answer
    x = 314,892.47

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1.5x scale

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.