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Finding the Fourth Proportional to 314,206.94, 433,614.81 and 170,976.22

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Solution

The fourth proportional to 314,206.94, 433,614.81 and 170,976.22 is: 235,952.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,206.94 : 433,614.81 = 170,976.22 : x
  2. Step 2: Convert to fraction form
    314,206.94/433,614.81 = 170,976.22/x
  3. Step 3: Cross multiply
    314,206.94x = 433,614.81 × 170,976.22
  4. Step 4: Simplify right side
    314,206.94x = 74,137,820,706.94
  5. Step 5: Solve for x
    x = 74,137,820,706.94/314,206.94
  6. Step 6: Final answer
    x = 235,952.20

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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.