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Finding the Fourth Proportional to 564,334.16, 846,492.02 and 227,366.67

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Solution

The fourth proportional to 564,334.16, 846,492.02 and 227,366.67 is: 341,046.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,334.16 : 846,492.02 = 227,366.67 : x
  2. Step 2: Convert to fraction form
    564,334.16/846,492.02 = 227,366.67/x
  3. Step 3: Cross multiply
    564,334.16x = 846,492.02 × 227,366.67
  4. Step 4: Simplify right side
    564,334.16x = 192,464,072,278.35
  5. Step 5: Solve for x
    x = 192,464,072,278.35/564,334.16
  6. Step 6: Final answer
    x = 341,046.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.