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Finding the Fourth Proportional to 314,164.06, 433,541.62 and 170,920.82

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Solution

The fourth proportional to 314,164.06, 433,541.62 and 170,920.82 is: 235,868.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,164.06 : 433,541.62 = 170,920.82 : x
  2. Step 2: Convert to fraction form
    314,164.06/433,541.62 = 170,920.82/x
  3. Step 3: Cross multiply
    314,164.06x = 433,541.62 × 170,920.82
  4. Step 4: Simplify right side
    314,164.06x = 74,101,289,194.53
  5. Step 5: Solve for x
    x = 74,101,289,194.53/314,164.06
  6. Step 6: Final answer
    x = 235,868.13

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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.