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Finding the Fourth Proportional to 298,597.62, 412,064.74 and 164,461.62

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Solution

The fourth proportional to 298,597.62, 412,064.74 and 164,461.62 is: 226,957.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,597.62 : 412,064.74 = 164,461.62 : x
  2. Step 2: Convert to fraction form
    298,597.62/412,064.74 = 164,461.62/x
  3. Step 3: Cross multiply
    298,597.62x = 412,064.74 × 164,461.62
  4. Step 4: Simplify right side
    298,597.62x = 67,768,834,685.28
  5. Step 5: Solve for x
    x = 67,768,834,685.28/298,597.62
  6. Step 6: Final answer
    x = 226,957.05

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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.