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Finding the Fourth Proportional to 280,068.20, 419,324.70 and 272,292.20

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Solution

The fourth proportional to 280,068.20, 419,324.70 and 272,292.20 is: 407,682.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,068.20 : 419,324.70 = 272,292.20 : x
  2. Step 2: Convert to fraction form
    280,068.20/419,324.70 = 272,292.20/x
  3. Step 3: Cross multiply
    280,068.20x = 419,324.70 × 272,292.20
  4. Step 4: Simplify right side
    280,068.20x = 114,178,845,077.34
  5. Step 5: Solve for x
    x = 114,178,845,077.34/280,068.20
  6. Step 6: Final answer
    x = 407,682.29

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1.5x scale

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.