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Finding the Fourth Proportional to 412,549.94, 569,308.64 and 228,787.44

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Solution

The fourth proportional to 412,549.94, 569,308.64 and 228,787.44 is: 315,720.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,549.94 : 569,308.64 = 228,787.44 : x
  2. Step 2: Convert to fraction form
    412,549.94/569,308.64 = 228,787.44/x
  3. Step 3: Cross multiply
    412,549.94x = 569,308.64 × 228,787.44
  4. Step 4: Simplify right side
    412,549.94x = 130,250,666,315.48
  5. Step 5: Solve for x
    x = 130,250,666,315.48/412,549.94
  6. Step 6: Final answer
    x = 315,720.97

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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.