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Finding the Fourth Proportional to 706,095.78, 974,388.30 and 404,231.46

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Solution

The fourth proportional to 706,095.78, 974,388.30 and 404,231.46 is: 557,825.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,095.78 : 974,388.30 = 404,231.46 : x
  2. Step 2: Convert to fraction form
    706,095.78/974,388.30 = 404,231.46/x
  3. Step 3: Cross multiply
    706,095.78x = 974,388.30 × 404,231.46
  4. Step 4: Simplify right side
    706,095.78x = 393,878,405,115.92
  5. Step 5: Solve for x
    x = 393,878,405,115.92/706,095.78
  6. Step 6: Final answer
    x = 557,825.75

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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.