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Finding the Fourth Proportional to 409,853.12, 565,600.60 and 228,576.74

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Solution

The fourth proportional to 409,853.12, 565,600.60 and 228,576.74 is: 315,437.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,853.12 : 565,600.60 = 228,576.74 : x
  2. Step 2: Convert to fraction form
    409,853.12/565,600.60 = 228,576.74/x
  3. Step 3: Cross multiply
    409,853.12x = 565,600.60 × 228,576.74
  4. Step 4: Simplify right side
    409,853.12x = 129,283,141,290.04
  5. Step 5: Solve for x
    x = 129,283,141,290.04/409,853.12
  6. Step 6: Final answer
    x = 315,437.74

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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.