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Finding the Fourth Proportional to 260,509.50, 390,764.25 and 73,521

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Solution

The fourth proportional to 260,509.50, 390,764.25 and 73,521 is: 110,281.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,509.50 : 390,764.25 = 73,521 : x
  2. Step 2: Convert to fraction form
    260,509.50/390,764.25 = 73,521/x
  3. Step 3: Cross multiply
    260,509.50x = 390,764.25 × 73,521
  4. Step 4: Simplify right side
    260,509.50x = 28,729,378,424.25
  5. Step 5: Solve for x
    x = 28,729,378,424.25/260,509.50
  6. Step 6: Final answer
    x = 110,281.50

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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.