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Finding the Fourth Proportional to 411,464.63, 617,070.60 and 145,162.87

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Solution

The fourth proportional to 411,464.63, 617,070.60 and 145,162.87 is: 217,699.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,464.63 : 617,070.60 = 145,162.87 : x
  2. Step 2: Convert to fraction form
    411,464.63/617,070.60 = 145,162.87/x
  3. Step 3: Cross multiply
    411,464.63x = 617,070.60 × 145,162.87
  4. Step 4: Simplify right side
    411,464.63x = 89,575,739,288.62
  5. Step 5: Solve for x
    x = 89,575,739,288.62/411,464.63
  6. Step 6: Final answer
    x = 217,699.73

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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.