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Finding the Fourth Proportional to 575,700.32, 862,792.32 and 322,976

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Solution

The fourth proportional to 575,700.32, 862,792.32 and 322,976 is: 484,038.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,700.32 : 862,792.32 = 322,976 : x
  2. Step 2: Convert to fraction form
    575,700.32/862,792.32 = 322,976/x
  3. Step 3: Cross multiply
    575,700.32x = 862,792.32 × 322,976
  4. Step 4: Simplify right side
    575,700.32x = 278,661,212,344.32
  5. Step 5: Solve for x
    x = 278,661,212,344.32/575,700.32
  6. Step 6: Final answer
    x = 484,038.66

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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.