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Finding the Fourth Proportional to 482,782.58, 723,008.28 and 242,139.68

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Solution

The fourth proportional to 482,782.58, 723,008.28 and 242,139.68 is: 362,624.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,782.58 : 723,008.28 = 242,139.68 : x
  2. Step 2: Convert to fraction form
    482,782.58/723,008.28 = 242,139.68/x
  3. Step 3: Cross multiply
    482,782.58x = 723,008.28 × 242,139.68
  4. Step 4: Simplify right side
    482,782.58x = 175,068,993,556.55
  5. Step 5: Solve for x
    x = 175,068,993,556.55/482,782.58
  6. Step 6: Final answer
    x = 362,624.92

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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.