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Finding the Fourth Proportional to 313,901.30, 470,679.14 and 103,430.90

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Solution

The fourth proportional to 313,901.30, 470,679.14 and 103,430.90 is: 155,089.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,901.30 : 470,679.14 = 103,430.90 : x
  2. Step 2: Convert to fraction form
    313,901.30/470,679.14 = 103,430.90/x
  3. Step 3: Cross multiply
    313,901.30x = 470,679.14 × 103,430.90
  4. Step 4: Simplify right side
    313,901.30x = 48,682,767,061.43
  5. Step 5: Solve for x
    x = 48,682,767,061.43/313,901.30
  6. Step 6: Final answer
    x = 155,089.41

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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.