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Finding the Fourth Proportional to 459,277, 633,861.66 and 258,073

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Solution

The fourth proportional to 459,277, 633,861.66 and 258,073 is: 356,174.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,277 : 633,861.66 = 258,073 : x
  2. Step 2: Convert to fraction form
    459,277/633,861.66 = 258,073/x
  3. Step 3: Cross multiply
    459,277x = 633,861.66 × 258,073
  4. Step 4: Simplify right side
    459,277x = 163,582,580,181.18
  5. Step 5: Solve for x
    x = 163,582,580,181.18/459,277
  6. Step 6: Final answer
    x = 356,174.12

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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.