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Finding the Fourth Proportional to 314,151.77, 433,531.33 and 170,912.84

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Solution

The fourth proportional to 314,151.77, 433,531.33 and 170,912.84 is: 235,860.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,151.77 : 433,531.33 = 170,912.84 : x
  2. Step 2: Convert to fraction form
    314,151.77/433,531.33 = 170,912.84/x
  3. Step 3: Cross multiply
    314,151.77x = 433,531.33 × 170,912.84
  4. Step 4: Simplify right side
    314,151.77x = 74,096,069,870.08
  5. Step 5: Solve for x
    x = 74,096,069,870.08/314,151.77
  6. Step 6: Final answer
    x = 235,860.74

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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.