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Finding the Fourth Proportional to 391,038.34, 539,876.70 and 300,213.46

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Solution

The fourth proportional to 391,038.34, 539,876.70 and 300,213.46 is: 414,481.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,038.34 : 539,876.70 = 300,213.46 : x
  2. Step 2: Convert to fraction form
    391,038.34/539,876.70 = 300,213.46/x
  3. Step 3: Cross multiply
    391,038.34x = 539,876.70 × 300,213.46
  4. Step 4: Simplify right side
    391,038.34x = 162,078,252,080.38
  5. Step 5: Solve for x
    x = 162,078,252,080.38/391,038.34
  6. Step 6: Final answer
    x = 414,481.74

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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.