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Finding the Fourth Proportional to 412,546.43, 569,303.82 and 228,783.93

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Solution

The fourth proportional to 412,546.43, 569,303.82 and 228,783.93 is: 315,716.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,546.43 : 569,303.82 = 228,783.93 : x
  2. Step 2: Convert to fraction form
    412,546.43/569,303.82 = 228,783.93/x
  3. Step 3: Cross multiply
    412,546.43x = 569,303.82 × 228,783.93
  4. Step 4: Simplify right side
    412,546.43x = 130,247,565,303.61
  5. Step 5: Solve for x
    x = 130,247,565,303.61/412,546.43
  6. Step 6: Final answer
    x = 315,716.14

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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.