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Finding the Fourth Proportional to 297,383.18, 409,351.64 and 256,676.47

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Solution

The fourth proportional to 297,383.18, 409,351.64 and 256,676.47 is: 353,318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,383.18 : 409,351.64 = 256,676.47 : x
  2. Step 2: Convert to fraction form
    297,383.18/409,351.64 = 256,676.47/x
  3. Step 3: Cross multiply
    297,383.18x = 409,351.64 × 256,676.47
  4. Step 4: Simplify right side
    297,383.18x = 105,070,931,637.15
  5. Step 5: Solve for x
    x = 105,070,931,637.15/297,383.18
  6. Step 6: Final answer
    x = 353,318.35

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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.