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Finding the Fourth Proportional to 315,024.66, 472,539.69 and 101,824.97

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Solution

The fourth proportional to 315,024.66, 472,539.69 and 101,824.97 is: 152,738.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,024.66 : 472,539.69 = 101,824.97 : x
  2. Step 2: Convert to fraction form
    315,024.66/472,539.69 = 101,824.97/x
  3. Step 3: Cross multiply
    315,024.66x = 472,539.69 × 101,824.97
  4. Step 4: Simplify right side
    315,024.66x = 48,116,337,395.36
  5. Step 5: Solve for x
    x = 48,116,337,395.36/315,024.66
  6. Step 6: Final answer
    x = 152,738.32

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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.