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Finding the Fourth Proportional to 380,138.92, 524,463.54 and 218,989.81

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Solution

The fourth proportional to 380,138.92, 524,463.54 and 218,989.81 is: 302,132.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,138.92 : 524,463.54 = 218,989.81 : x
  2. Step 2: Convert to fraction form
    380,138.92/524,463.54 = 218,989.81/x
  3. Step 3: Cross multiply
    380,138.92x = 524,463.54 × 218,989.81
  4. Step 4: Simplify right side
    380,138.92x = 114,852,170,976.53
  5. Step 5: Solve for x
    x = 114,852,170,976.53/380,138.92
  6. Step 6: Final answer
    x = 302,132.10

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1.5x scale

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.