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Finding the Fourth Proportional to 458,415.55, 687,467.60 and 158,826.18

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Solution

The fourth proportional to 458,415.55, 687,467.60 and 158,826.18 is: 238,185.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,415.55 : 687,467.60 = 158,826.18 : x
  2. Step 2: Convert to fraction form
    458,415.55/687,467.60 = 158,826.18/x
  3. Step 3: Cross multiply
    458,415.55x = 687,467.60 × 158,826.18
  4. Step 4: Simplify right side
    458,415.55x = 109,187,856,054.64
  5. Step 5: Solve for x
    x = 109,187,856,054.64/458,415.55
  6. Step 6: Final answer
    x = 238,185.32

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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.