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Finding the Fourth Proportional to 313,437.06, 470,154.42 and 113,757.12

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Solution

The fourth proportional to 313,437.06, 470,154.42 and 113,757.12 is: 170,635.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,437.06 : 470,154.42 = 113,757.12 : x
  2. Step 2: Convert to fraction form
    313,437.06/470,154.42 = 113,757.12/x
  3. Step 3: Cross multiply
    313,437.06x = 470,154.42 × 113,757.12
  4. Step 4: Simplify right side
    313,437.06x = 53,483,412,774.47
  5. Step 5: Solve for x
    x = 53,483,412,774.47/313,437.06
  6. Step 6: Final answer
    x = 170,635.26

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1.5x scale

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.