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Finding the Fourth Proportional to 380,409.92, 524,959.28 and 210,640.40

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Solution

The fourth proportional to 380,409.92, 524,959.28 and 210,640.40 is: 290,680.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,409.92 : 524,959.28 = 210,640.40 : x
  2. Step 2: Convert to fraction form
    380,409.92/524,959.28 = 210,640.40/x
  3. Step 3: Cross multiply
    380,409.92x = 524,959.28 × 210,640.40
  4. Step 4: Simplify right side
    380,409.92x = 110,577,632,722.91
  5. Step 5: Solve for x
    x = 110,577,632,722.91/380,409.92
  6. Step 6: Final answer
    x = 290,680.20

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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.