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Finding the Fourth Proportional to 412,543.06, 569,310.72 and 228,794.74

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Solution

The fourth proportional to 412,543.06, 569,310.72 and 228,794.74 is: 315,737.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,543.06 : 569,310.72 = 228,794.74 : x
  2. Step 2: Convert to fraction form
    412,543.06/569,310.72 = 228,794.74/x
  3. Step 3: Cross multiply
    412,543.06x = 569,310.72 × 228,794.74
  4. Step 4: Simplify right side
    412,543.06x = 130,255,298,161.61
  5. Step 5: Solve for x
    x = 130,255,298,161.61/412,543.06
  6. Step 6: Final answer
    x = 315,737.46

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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.