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Finding the Fourth Proportional to 353,810.19, 530,272.24 and 278,633.44

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Solution

The fourth proportional to 353,810.19, 530,272.24 and 278,633.44 is: 417,601.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,810.19 : 530,272.24 = 278,633.44 : x
  2. Step 2: Convert to fraction form
    353,810.19/530,272.24 = 278,633.44/x
  3. Step 3: Cross multiply
    353,810.19x = 530,272.24 × 278,633.44
  4. Step 4: Simplify right side
    353,810.19x = 147,751,578,367.71
  5. Step 5: Solve for x
    x = 147,751,578,367.71/353,810.19
  6. Step 6: Final answer
    x = 417,601.25

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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.