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Finding the Fourth Proportional to 298,074.33, 411,353.10 and 170,774.51

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Solution

The fourth proportional to 298,074.33, 411,353.10 and 170,774.51 is: 235,674.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,074.33 : 411,353.10 = 170,774.51 : x
  2. Step 2: Convert to fraction form
    298,074.33/411,353.10 = 170,774.51/x
  3. Step 3: Cross multiply
    298,074.33x = 411,353.10 × 170,774.51
  4. Step 4: Simplify right side
    298,074.33x = 70,248,622,032.72
  5. Step 5: Solve for x
    x = 70,248,622,032.72/298,074.33
  6. Step 6: Final answer
    x = 235,674.85

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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.