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Finding the Fourth Proportional to 470,963.70, 706,442.31 and 155,446.02

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Solution

The fourth proportional to 470,963.70, 706,442.31 and 155,446.02 is: 233,167.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,963.70 : 706,442.31 = 155,446.02 : x
  2. Step 2: Convert to fraction form
    470,963.70/706,442.31 = 155,446.02/x
  3. Step 3: Cross multiply
    470,963.70x = 706,442.31 × 155,446.02
  4. Step 4: Simplify right side
    470,963.70x = 109,813,645,449.11
  5. Step 5: Solve for x
    x = 109,813,645,449.11/470,963.70
  6. Step 6: Final answer
    x = 233,167.96

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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.