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Finding the Fourth Proportional to 286,794.40, 430,249.08 and 160,614.16

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Solution

The fourth proportional to 286,794.40, 430,249.08 and 160,614.16 is: 240,953.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,794.40 : 430,249.08 = 160,614.16 : x
  2. Step 2: Convert to fraction form
    286,794.40/430,249.08 = 160,614.16/x
  3. Step 3: Cross multiply
    286,794.40x = 430,249.08 × 160,614.16
  4. Step 4: Simplify right side
    286,794.40x = 69,104,094,574.97
  5. Step 5: Solve for x
    x = 69,104,094,574.97/286,794.40
  6. Step 6: Final answer
    x = 240,953.43

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1.5x scale

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.