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Finding the Fourth Proportional to 294,108.12, 405,869.16 and 166,783.71

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Solution

The fourth proportional to 294,108.12, 405,869.16 and 166,783.71 is: 230,161.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,108.12 : 405,869.16 = 166,783.71 : x
  2. Step 2: Convert to fraction form
    294,108.12/405,869.16 = 166,783.71/x
  3. Step 3: Cross multiply
    294,108.12x = 405,869.16 × 166,783.71
  4. Step 4: Simplify right side
    294,108.12x = 67,692,364,279.38
  5. Step 5: Solve for x
    x = 67,692,364,279.38/294,108.12
  6. Step 6: Final answer
    x = 230,161.49

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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.