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Finding the Fourth Proportional to 413,567.40, 620,459.10 and 133,091.40

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Solution

The fourth proportional to 413,567.40, 620,459.10 and 133,091.40 is: 199,671.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,567.40 : 620,459.10 = 133,091.40 : x
  2. Step 2: Convert to fraction form
    413,567.40/620,459.10 = 133,091.40/x
  3. Step 3: Cross multiply
    413,567.40x = 620,459.10 × 133,091.40
  4. Step 4: Simplify right side
    413,567.40x = 82,577,770,261.74
  5. Step 5: Solve for x
    x = 82,577,770,261.74/413,567.40
  6. Step 6: Final answer
    x = 199,671.86

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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.