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Finding the Fourth Proportional to 294,872.94, 406,654.74 and 218,582.10

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Solution

The fourth proportional to 294,872.94, 406,654.74 and 218,582.10 is: 301,443.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,872.94 : 406,654.74 = 218,582.10 : x
  2. Step 2: Convert to fraction form
    294,872.94/406,654.74 = 218,582.10/x
  3. Step 3: Cross multiply
    294,872.94x = 406,654.74 × 218,582.10
  4. Step 4: Simplify right side
    294,872.94x = 88,887,447,044.15
  5. Step 5: Solve for x
    x = 88,887,447,044.15/294,872.94
  6. Step 6: Final answer
    x = 301,443.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.