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Finding the Fourth Proportional to 294,078.40, 405,902.24 and 166,830.40

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Solution

The fourth proportional to 294,078.40, 405,902.24 and 166,830.40 is: 230,267.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,078.40 : 405,902.24 = 166,830.40 : x
  2. Step 2: Convert to fraction form
    294,078.40/405,902.24 = 166,830.40/x
  3. Step 3: Cross multiply
    294,078.40x = 405,902.24 × 166,830.40
  4. Step 4: Simplify right side
    294,078.40x = 67,716,833,060.10
  5. Step 5: Solve for x
    x = 67,716,833,060.10/294,078.40
  6. Step 6: Final answer
    x = 230,267.96

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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.