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Finding the Fourth Proportional to 313,358.90, 470,116.11 and 146,952.50

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Solution

The fourth proportional to 313,358.90, 470,116.11 and 146,952.50 is: 220,465.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,358.90 : 470,116.11 = 146,952.50 : x
  2. Step 2: Convert to fraction form
    313,358.90/470,116.11 = 146,952.50/x
  3. Step 3: Cross multiply
    313,358.90x = 470,116.11 × 146,952.50
  4. Step 4: Simplify right side
    313,358.90x = 69,084,737,654.78
  5. Step 5: Solve for x
    x = 69,084,737,654.78/313,358.90
  6. Step 6: Final answer
    x = 220,465.22

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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.