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Finding the Fourth Proportional to 522,184, 720,614.64 and 295,844.80

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Solution

The fourth proportional to 522,184, 720,614.64 and 295,844.80 is: 408,266.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,184 : 720,614.64 = 295,844.80 : x
  2. Step 2: Convert to fraction form
    522,184/720,614.64 = 295,844.80/x
  3. Step 3: Cross multiply
    522,184x = 720,614.64 × 295,844.80
  4. Step 4: Simplify right side
    522,184x = 213,190,094,047.87
  5. Step 5: Solve for x
    x = 213,190,094,047.87/522,184
  6. Step 6: Final answer
    x = 408,266.23

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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.