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Finding the Fourth Proportional to 413,725.32, 570,745.62 and 353,938.23

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Solution

The fourth proportional to 413,725.32, 570,745.62 and 353,938.23 is: 488,267.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,725.32 : 570,745.62 = 353,938.23 : x
  2. Step 2: Convert to fraction form
    413,725.32/570,745.62 = 353,938.23/x
  3. Step 3: Cross multiply
    413,725.32x = 570,745.62 × 353,938.23
  4. Step 4: Simplify right side
    413,725.32x = 202,008,694,523.05
  5. Step 5: Solve for x
    x = 202,008,694,523.05/413,725.32
  6. Step 6: Final answer
    x = 488,267.66

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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.