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Finding the Fourth Proportional to 313,476.38, 470,232.34 and 100,263.02

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Solution

The fourth proportional to 313,476.38, 470,232.34 and 100,263.02 is: 150,400.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,476.38 : 470,232.34 = 100,263.02 : x
  2. Step 2: Convert to fraction form
    313,476.38/470,232.34 = 100,263.02/x
  3. Step 3: Cross multiply
    313,476.38x = 470,232.34 × 100,263.02
  4. Step 4: Simplify right side
    313,476.38x = 47,146,911,908.25
  5. Step 5: Solve for x
    x = 47,146,911,908.25/313,476.38
  6. Step 6: Final answer
    x = 150,400.21

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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.