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Finding the Fourth Proportional to 546,524.92, 754,205.73 and 304,823.16

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Solution

The fourth proportional to 546,524.92, 754,205.73 and 304,823.16 is: 420,656.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,524.92 : 754,205.73 = 304,823.16 : x
  2. Step 2: Convert to fraction form
    546,524.92/754,205.73 = 304,823.16/x
  3. Step 3: Cross multiply
    546,524.92x = 754,205.73 × 304,823.16
  4. Step 4: Simplify right side
    546,524.92x = 229,899,373,908.71
  5. Step 5: Solve for x
    x = 229,899,373,908.71/546,524.92
  6. Step 6: Final answer
    x = 420,656.71

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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.