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Finding the Fourth Proportional to 476,293.38, 657,830.39 and 313,676.82

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Solution

The fourth proportional to 476,293.38, 657,830.39 and 313,676.82 is: 433,233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,293.38 : 657,830.39 = 313,676.82 : x
  2. Step 2: Convert to fraction form
    476,293.38/657,830.39 = 313,676.82/x
  3. Step 3: Cross multiply
    476,293.38x = 657,830.39 × 313,676.82
  4. Step 4: Simplify right side
    476,293.38x = 206,346,143,266.18
  5. Step 5: Solve for x
    x = 206,346,143,266.18/476,293.38
  6. Step 6: Final answer
    x = 433,233.28

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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.