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Finding the Fourth Proportional to 412,106.16, 568,775.07 and 282,938.97

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Solution

The fourth proportional to 412,106.16, 568,775.07 and 282,938.97 is: 390,502.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,106.16 : 568,775.07 = 282,938.97 : x
  2. Step 2: Convert to fraction form
    412,106.16/568,775.07 = 282,938.97/x
  3. Step 3: Cross multiply
    412,106.16x = 568,775.07 × 282,938.97
  4. Step 4: Simplify right side
    412,106.16x = 160,928,632,467.48
  5. Step 5: Solve for x
    x = 160,928,632,467.48/412,106.16
  6. Step 6: Final answer
    x = 390,502.86

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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.