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Finding the Fourth Proportional to 546,384.92, 754,020.48 and 301,397.80

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Solution

The fourth proportional to 546,384.92, 754,020.48 and 301,397.80 is: 415,934.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,384.92 : 754,020.48 = 301,397.80 : x
  2. Step 2: Convert to fraction form
    546,384.92/754,020.48 = 301,397.80/x
  3. Step 3: Cross multiply
    546,384.92x = 754,020.48 × 301,397.80
  4. Step 4: Simplify right side
    546,384.92x = 227,260,113,826.94
  5. Step 5: Solve for x
    x = 227,260,113,826.94/546,384.92
  6. Step 6: Final answer
    x = 415,934.09

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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.