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Finding the Fourth Proportional to 315,713.84, 472,814.22 and 230,095.22

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Solution

The fourth proportional to 315,713.84, 472,814.22 and 230,095.22 is: 344,591.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,713.84 : 472,814.22 = 230,095.22 : x
  2. Step 2: Convert to fraction form
    315,713.84/472,814.22 = 230,095.22/x
  3. Step 3: Cross multiply
    315,713.84x = 472,814.22 × 230,095.22
  4. Step 4: Simplify right side
    315,713.84x = 108,792,291,970.03
  5. Step 5: Solve for x
    x = 108,792,291,970.03/315,713.84
  6. Step 6: Final answer
    x = 344,591.46

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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.