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Finding the Fourth Proportional to 353,764.27, 530,203.49 and 278,587.50

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Solution

The fourth proportional to 353,764.27, 530,203.49 and 278,587.50 is: 417,532.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,764.27 : 530,203.49 = 278,587.50 : x
  2. Step 2: Convert to fraction form
    353,764.27/530,203.49 = 278,587.50/x
  3. Step 3: Cross multiply
    353,764.27x = 530,203.49 × 278,587.50
  4. Step 4: Simplify right side
    353,764.27x = 147,708,064,770.38
  5. Step 5: Solve for x
    x = 147,708,064,770.38/353,764.27
  6. Step 6: Final answer
    x = 417,532.46

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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.