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Finding the Fourth Proportional to 391,088.46, 539,664.75 and 310,710.54

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Solution

The fourth proportional to 391,088.46, 539,664.75 and 310,710.54 is: 428,750.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,088.46 : 539,664.75 = 310,710.54 : x
  2. Step 2: Convert to fraction form
    391,088.46/539,664.75 = 310,710.54/x
  3. Step 3: Cross multiply
    391,088.46x = 539,664.75 × 310,710.54
  4. Step 4: Simplify right side
    391,088.46x = 167,679,525,891.47
  5. Step 5: Solve for x
    x = 167,679,525,891.47/391,088.46
  6. Step 6: Final answer
    x = 428,750.89

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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.