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Finding the Fourth Proportional to 314,219.94, 433,616.43 and 170,980.38

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Solution

The fourth proportional to 314,219.94, 433,616.43 and 170,980.38 is: 235,949.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,219.94 : 433,616.43 = 170,980.38 : x
  2. Step 2: Convert to fraction form
    314,219.94/433,616.43 = 170,980.38/x
  3. Step 3: Cross multiply
    314,219.94x = 433,616.43 × 170,980.38
  4. Step 4: Simplify right side
    314,219.94x = 74,139,901,975.64
  5. Step 5: Solve for x
    x = 74,139,901,975.64/314,219.94
  6. Step 6: Final answer
    x = 235,949.07

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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.