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Finding the Fourth Proportional to 511,776.45, 706,023.21 and 296,792.04

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Solution

The fourth proportional to 511,776.45, 706,023.21 and 296,792.04 is: 409,440.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,776.45 : 706,023.21 = 296,792.04 : x
  2. Step 2: Convert to fraction form
    511,776.45/706,023.21 = 296,792.04/x
  3. Step 3: Cross multiply
    511,776.45x = 706,023.21 × 296,792.04
  4. Step 4: Simplify right side
    511,776.45x = 209,542,068,783.25
  5. Step 5: Solve for x
    x = 209,542,068,783.25/511,776.45
  6. Step 6: Final answer
    x = 409,440.62

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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.