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Finding the Fourth Proportional to 242,820.60, 364,230.90 and 204,329.40

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Solution

The fourth proportional to 242,820.60, 364,230.90 and 204,329.40 is: 306,494.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,820.60 : 364,230.90 = 204,329.40 : x
  2. Step 2: Convert to fraction form
    242,820.60/364,230.90 = 204,329.40/x
  3. Step 3: Cross multiply
    242,820.60x = 364,230.90 × 204,329.40
  4. Step 4: Simplify right side
    242,820.60x = 74,423,081,258.46
  5. Step 5: Solve for x
    x = 74,423,081,258.46/242,820.60
  6. Step 6: Final answer
    x = 306,494.10

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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.