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Finding the Fourth Proportional to 314,399.63, 433,846.57 and 178,433.57

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Solution

The fourth proportional to 314,399.63, 433,846.57 and 178,433.57 is: 246,224.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,399.63 : 433,846.57 = 178,433.57 : x
  2. Step 2: Convert to fraction form
    314,399.63/433,846.57 = 178,433.57/x
  3. Step 3: Cross multiply
    314,399.63x = 433,846.57 × 178,433.57
  4. Step 4: Simplify right side
    314,399.63x = 77,412,792,317.35
  5. Step 5: Solve for x
    x = 77,412,792,317.35/314,399.63
  6. Step 6: Final answer
    x = 246,224.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.