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Finding the Fourth Proportional to 409,433.37, 565,012.29 and 228,152.94

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Solution

The fourth proportional to 409,433.37, 565,012.29 and 228,152.94 is: 314,847.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,433.37 : 565,012.29 = 228,152.94 : x
  2. Step 2: Convert to fraction form
    409,433.37/565,012.29 = 228,152.94/x
  3. Step 3: Cross multiply
    409,433.37x = 565,012.29 × 228,152.94
  4. Step 4: Simplify right side
    409,433.37x = 128,909,215,099.63
  5. Step 5: Solve for x
    x = 128,909,215,099.63/409,433.37
  6. Step 6: Final answer
    x = 314,847.85

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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.