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Finding the Fourth Proportional to 476,305.31, 657,308.77 and 261,464.96

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Solution

The fourth proportional to 476,305.31, 657,308.77 and 261,464.96 is: 360,825.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,305.31 : 657,308.77 = 261,464.96 : x
  2. Step 2: Convert to fraction form
    476,305.31/657,308.77 = 261,464.96/x
  3. Step 3: Cross multiply
    476,305.31x = 657,308.77 × 261,464.96
  4. Step 4: Simplify right side
    476,305.31x = 171,863,207,315.49
  5. Step 5: Solve for x
    x = 171,863,207,315.49/476,305.31
  6. Step 6: Final answer
    x = 360,825.73

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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.