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Finding the Fourth Proportional to 298,602.75, 412,071.80 and 164,466.75

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Solution

The fourth proportional to 298,602.75, 412,071.80 and 164,466.75 is: 226,964.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,602.75 : 412,071.80 = 164,466.75 : x
  2. Step 2: Convert to fraction form
    298,602.75/412,071.80 = 164,466.75/x
  3. Step 3: Cross multiply
    298,602.75x = 412,071.80 × 164,466.75
  4. Step 4: Simplify right side
    298,602.75x = 67,772,109,712.65
  5. Step 5: Solve for x
    x = 67,772,109,712.65/298,602.75
  6. Step 6: Final answer
    x = 226,964.12

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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.