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Finding the Fourth Proportional to 553,722.60, 830,540.70 and 216,697.80

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Solution

The fourth proportional to 553,722.60, 830,540.70 and 216,697.80 is: 325,029.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,722.60 : 830,540.70 = 216,697.80 : x
  2. Step 2: Convert to fraction form
    553,722.60/830,540.70 = 216,697.80/x
  3. Step 3: Cross multiply
    553,722.60x = 830,540.70 × 216,697.80
  4. Step 4: Simplify right side
    553,722.60x = 179,976,342,500.46
  5. Step 5: Solve for x
    x = 179,976,342,500.46/553,722.60
  6. Step 6: Final answer
    x = 325,029.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.