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Finding the Fourth Proportional to 313,842.90, 470,764.35 and 313,842.90

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Solution

The fourth proportional to 313,842.90, 470,764.35 and 313,842.90 is: 470,764.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,842.90 : 470,764.35 = 313,842.90 : x
  2. Step 2: Convert to fraction form
    313,842.90/470,764.35 = 313,842.90/x
  3. Step 3: Cross multiply
    313,842.90x = 470,764.35 × 313,842.90
  4. Step 4: Simplify right side
    313,842.90x = 147,746,048,820.62
  5. Step 5: Solve for x
    x = 147,746,048,820.62/313,842.90
  6. Step 6: Final answer
    x = 470,764.35

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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.