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Finding the Fourth Proportional to 314,131.29, 433,501.79 and 170,891.97

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Solution

The fourth proportional to 314,131.29, 433,501.79 and 170,891.97 is: 235,831.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,131.29 : 433,501.79 = 170,891.97 : x
  2. Step 2: Convert to fraction form
    314,131.29/433,501.79 = 170,891.97/x
  3. Step 3: Cross multiply
    314,131.29x = 433,501.79 × 170,891.97
  4. Step 4: Simplify right side
    314,131.29x = 74,081,974,037.17
  5. Step 5: Solve for x
    x = 74,081,974,037.17/314,131.29
  6. Step 6: Final answer
    x = 235,831.25

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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.