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Finding the Fourth Proportional to 309,224.16, 463,969.44 and 167,041.12

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Solution

The fourth proportional to 309,224.16, 463,969.44 and 167,041.12 is: 250,633.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,224.16 : 463,969.44 = 167,041.12 : x
  2. Step 2: Convert to fraction form
    309,224.16/463,969.44 = 167,041.12/x
  3. Step 3: Cross multiply
    309,224.16x = 463,969.44 × 167,041.12
  4. Step 4: Simplify right side
    309,224.16x = 77,501,974,903.37
  5. Step 5: Solve for x
    x = 77,501,974,903.37/309,224.16
  6. Step 6: Final answer
    x = 250,633.63

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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.