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Finding the Fourth Proportional to 706,301.31, 974,735.66 and 384,004.48

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Solution

The fourth proportional to 706,301.31, 974,735.66 and 384,004.48 is: 529,947.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,301.31 : 974,735.66 = 384,004.48 : x
  2. Step 2: Convert to fraction form
    706,301.31/974,735.66 = 384,004.48/x
  3. Step 3: Cross multiply
    706,301.31x = 974,735.66 × 384,004.48
  4. Step 4: Simplify right side
    706,301.31x = 374,302,860,255.76
  5. Step 5: Solve for x
    x = 374,302,860,255.76/706,301.31
  6. Step 6: Final answer
    x = 529,947.85

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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.