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Finding the Fourth Proportional to 409,598.42, 565,222.50 and 225,800.19

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Solution

The fourth proportional to 409,598.42, 565,222.50 and 225,800.19 is: 311,591.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,598.42 : 565,222.50 = 225,800.19 : x
  2. Step 2: Convert to fraction form
    409,598.42/565,222.50 = 225,800.19/x
  3. Step 3: Cross multiply
    409,598.42x = 565,222.50 × 225,800.19
  4. Step 4: Simplify right side
    409,598.42x = 127,627,347,892.28
  5. Step 5: Solve for x
    x = 127,627,347,892.28/409,598.42
  6. Step 6: Final answer
    x = 311,591.41

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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.