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Finding the Fourth Proportional to 294,592.77, 406,693.38 and 198,302.88

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Solution

The fourth proportional to 294,592.77, 406,693.38 and 198,302.88 is: 273,762.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,592.77 : 406,693.38 = 198,302.88 : x
  2. Step 2: Convert to fraction form
    294,592.77/406,693.38 = 198,302.88/x
  3. Step 3: Cross multiply
    294,592.77x = 406,693.38 × 198,302.88
  4. Step 4: Simplify right side
    294,592.77x = 80,648,468,530.93
  5. Step 5: Solve for x
    x = 80,648,468,530.93/294,592.77
  6. Step 6: Final answer
    x = 273,762.55

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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.