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Finding the Fourth Proportional to 411,416.72, 616,903.18 and 186,654.52

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Solution

The fourth proportional to 411,416.72, 616,903.18 and 186,654.52 is: 279,881.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,416.72 : 616,903.18 = 186,654.52 : x
  2. Step 2: Convert to fraction form
    411,416.72/616,903.18 = 186,654.52/x
  3. Step 3: Cross multiply
    411,416.72x = 616,903.18 × 186,654.52
  4. Step 4: Simplify right side
    411,416.72x = 115,147,765,407.12
  5. Step 5: Solve for x
    x = 115,147,765,407.12/411,416.72
  6. Step 6: Final answer
    x = 279,881.10

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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.