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Finding the Fourth Proportional to 409,725.25, 565,462.16 and 237,695.83

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Solution

The fourth proportional to 409,725.25, 565,462.16 and 237,695.83 is: 328,044.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,725.25 : 565,462.16 = 237,695.83 : x
  2. Step 2: Convert to fraction form
    409,725.25/565,462.16 = 237,695.83/x
  3. Step 3: Cross multiply
    409,725.25x = 565,462.16 × 237,695.83
  4. Step 4: Simplify right side
    409,725.25x = 134,407,998,924.74
  5. Step 5: Solve for x
    x = 134,407,998,924.74/409,725.25
  6. Step 6: Final answer
    x = 328,044.21

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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.