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Finding the Fourth Proportional to 298,601.88, 412,070.61 and 164,465.88

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Solution

The fourth proportional to 298,601.88, 412,070.61 and 164,465.88 is: 226,962.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,601.88 : 412,070.61 = 164,465.88 : x
  2. Step 2: Convert to fraction form
    298,601.88/412,070.61 = 164,465.88/x
  3. Step 3: Cross multiply
    298,601.88x = 412,070.61 × 164,465.88
  4. Step 4: Simplify right side
    298,601.88x = 67,771,555,495.79
  5. Step 5: Solve for x
    x = 67,771,555,495.79/298,601.88
  6. Step 6: Final answer
    x = 226,962.92

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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.