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Finding the Fourth Proportional to 423,662.76, 584,652.32 and 230,068.80

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Solution

The fourth proportional to 423,662.76, 584,652.32 and 230,068.80 is: 317,493.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,662.76 : 584,652.32 = 230,068.80 : x
  2. Step 2: Convert to fraction form
    423,662.76/584,652.32 = 230,068.80/x
  3. Step 3: Cross multiply
    423,662.76x = 584,652.32 × 230,068.80
  4. Step 4: Simplify right side
    423,662.76x = 134,510,257,679.62
  5. Step 5: Solve for x
    x = 134,510,257,679.62/423,662.76
  6. Step 6: Final answer
    x = 317,493.70

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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.