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Finding the Fourth Proportional to 294,594.96, 406,401.84 and 199,135.20

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Solution

The fourth proportional to 294,594.96, 406,401.84 and 199,135.20 is: 274,712.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,594.96 : 406,401.84 = 199,135.20 : x
  2. Step 2: Convert to fraction form
    294,594.96/406,401.84 = 199,135.20/x
  3. Step 3: Cross multiply
    294,594.96x = 406,401.84 × 199,135.20
  4. Step 4: Simplify right side
    294,594.96x = 80,928,911,688.77
  5. Step 5: Solve for x
    x = 80,928,911,688.77/294,594.96
  6. Step 6: Final answer
    x = 274,712.48

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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.