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Finding the Fourth Proportional to 411,762.22, 617,693.18 and 145,468.24

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Solution

The fourth proportional to 411,762.22, 617,693.18 and 145,468.24 is: 218,219.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,762.22 : 617,693.18 = 145,468.24 : x
  2. Step 2: Convert to fraction form
    411,762.22/617,693.18 = 145,468.24/x
  3. Step 3: Cross multiply
    411,762.22x = 617,693.18 × 145,468.24
  4. Step 4: Simplify right side
    411,762.22x = 89,854,739,754.60
  5. Step 5: Solve for x
    x = 89,854,739,754.60/411,762.22
  6. Step 6: Final answer
    x = 218,219.97

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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.