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Finding the Fourth Proportional to 298,601.76, 412,070.42 and 164,465.76

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Solution

The fourth proportional to 298,601.76, 412,070.42 and 164,465.76 is: 226,962.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,601.76 : 412,070.42 = 164,465.76 : x
  2. Step 2: Convert to fraction form
    298,601.76/412,070.42 = 164,465.76/x
  3. Step 3: Cross multiply
    298,601.76x = 412,070.42 × 164,465.76
  4. Step 4: Simplify right side
    298,601.76x = 67,771,474,798.82
  5. Step 5: Solve for x
    x = 67,771,474,798.82/298,601.76
  6. Step 6: Final answer
    x = 226,962.74

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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.