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Finding the Fourth Proportional to 470,893.86, 706,324.93 and 204,654.40

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Solution

The fourth proportional to 470,893.86, 706,324.93 and 204,654.40 is: 306,974.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,893.86 : 706,324.93 = 204,654.40 : x
  2. Step 2: Convert to fraction form
    470,893.86/706,324.93 = 204,654.40/x
  3. Step 3: Cross multiply
    470,893.86x = 706,324.93 × 204,654.40
  4. Step 4: Simplify right side
    470,893.86x = 144,552,502,476.74
  5. Step 5: Solve for x
    x = 144,552,502,476.74/470,893.86
  6. Step 6: Final answer
    x = 306,974.70

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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.