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Finding the Fourth Proportional to 391,470.98, 540,271.77 and 221,712.26

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Solution

The fourth proportional to 391,470.98, 540,271.77 and 221,712.26 is: 305,986.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,470.98 : 540,271.77 = 221,712.26 : x
  2. Step 2: Convert to fraction form
    391,470.98/540,271.77 = 221,712.26/x
  3. Step 3: Cross multiply
    391,470.98x = 540,271.77 × 221,712.26
  4. Step 4: Simplify right side
    391,470.98x = 119,784,875,140.90
  5. Step 5: Solve for x
    x = 119,784,875,140.90/391,470.98
  6. Step 6: Final answer
    x = 305,986.60

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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.