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Finding the Fourth Proportional to 706,071.78, 974,355.21 and 404,207.46

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Solution

The fourth proportional to 706,071.78, 974,355.21 and 404,207.46 is: 557,792.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,071.78 : 974,355.21 = 404,207.46 : x
  2. Step 2: Convert to fraction form
    706,071.78/974,355.21 = 404,207.46/x
  3. Step 3: Cross multiply
    706,071.78x = 974,355.21 × 404,207.46
  4. Step 4: Simplify right side
    706,071.78x = 393,841,644,571.87
  5. Step 5: Solve for x
    x = 393,841,644,571.87/706,071.78
  6. Step 6: Final answer
    x = 557,792.64

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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.