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Finding the Fourth Proportional to 411,518.80, 617,214.53 and 158,762.43

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Solution

The fourth proportional to 411,518.80, 617,214.53 and 158,762.43 is: 238,119.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,518.80 : 617,214.53 = 158,762.43 : x
  2. Step 2: Convert to fraction form
    411,518.80/617,214.53 = 158,762.43/x
  3. Step 3: Cross multiply
    411,518.80x = 617,214.53 × 158,762.43
  4. Step 4: Simplify right side
    411,518.80x = 97,990,479,011.01
  5. Step 5: Solve for x
    x = 97,990,479,011.01/411,518.80
  6. Step 6: Final answer
    x = 238,119.08

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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.