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Finding the Fourth Proportional to 513,323.21, 769,727.84 and 158,291.10

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Solution

The fourth proportional to 513,323.21, 769,727.84 and 158,291.10 is: 237,357.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,323.21 : 769,727.84 = 158,291.10 : x
  2. Step 2: Convert to fraction form
    513,323.21/769,727.84 = 158,291.10/x
  3. Step 3: Cross multiply
    513,323.21x = 769,727.84 × 158,291.10
  4. Step 4: Simplify right side
    513,323.21x = 121,841,065,702.77
  5. Step 5: Solve for x
    x = 121,841,065,702.77/513,323.21
  6. Step 6: Final answer
    x = 237,357.41

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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.