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Finding the Fourth Proportional to 362,495.40, 543,743.10 and 278,417.40

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Solution

The fourth proportional to 362,495.40, 543,743.10 and 278,417.40 is: 417,626.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,495.40 : 543,743.10 = 278,417.40 : x
  2. Step 2: Convert to fraction form
    362,495.40/543,743.10 = 278,417.40/x
  3. Step 3: Cross multiply
    362,495.40x = 543,743.10 × 278,417.40
  4. Step 4: Simplify right side
    362,495.40x = 151,387,540,169.94
  5. Step 5: Solve for x
    x = 151,387,540,169.94/362,495.40
  6. Step 6: Final answer
    x = 417,626.10

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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.