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Finding the Fourth Proportional to 314,002.82, 433,319.81 and 170,759.79

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Solution

The fourth proportional to 314,002.82, 433,319.81 and 170,759.79 is: 235,646.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,002.82 : 433,319.81 = 170,759.79 : x
  2. Step 2: Convert to fraction form
    314,002.82/433,319.81 = 170,759.79/x
  3. Step 3: Cross multiply
    314,002.82x = 433,319.81 × 170,759.79
  4. Step 4: Simplify right side
    314,002.82x = 73,993,596,738.04
  5. Step 5: Solve for x
    x = 73,993,596,738.04/314,002.82
  6. Step 6: Final answer
    x = 235,646.28

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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.