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Finding the Fourth Proportional to 542,893.64, 749,194.11 and 301,176.21

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Solution

The fourth proportional to 542,893.64, 749,194.11 and 301,176.21 is: 415,623.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,893.64 : 749,194.11 = 301,176.21 : x
  2. Step 2: Convert to fraction form
    542,893.64/749,194.11 = 301,176.21/x
  3. Step 3: Cross multiply
    542,893.64x = 749,194.11 × 301,176.21
  4. Step 4: Simplify right side
    542,893.64x = 225,639,442,604.12
  5. Step 5: Solve for x
    x = 225,639,442,604.12/542,893.64
  6. Step 6: Final answer
    x = 415,623.67

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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.