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Finding the Fourth Proportional to 470,938.70, 706,148.85 and 155,233.10

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Solution

The fourth proportional to 470,938.70, 706,148.85 and 155,233.10 is: 232,764.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,938.70 : 706,148.85 = 155,233.10 : x
  2. Step 2: Convert to fraction form
    470,938.70/706,148.85 = 155,233.10/x
  3. Step 3: Cross multiply
    470,938.70x = 706,148.85 × 155,233.10
  4. Step 4: Simplify right side
    470,938.70x = 109,617,675,046.94
  5. Step 5: Solve for x
    x = 109,617,675,046.94/470,938.70
  6. Step 6: Final answer
    x = 232,764.21

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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.