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Finding the Fourth Proportional to 298,259.12, 411,597.58 and 164,123.12

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Solution

The fourth proportional to 298,259.12, 411,597.58 and 164,123.12 is: 226,489.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,259.12 : 411,597.58 = 164,123.12 : x
  2. Step 2: Convert to fraction form
    298,259.12/411,597.58 = 164,123.12/x
  3. Step 3: Cross multiply
    298,259.12x = 411,597.58 × 164,123.12
  4. Step 4: Simplify right side
    298,259.12x = 67,552,679,014.05
  5. Step 5: Solve for x
    x = 67,552,679,014.05/298,259.12
  6. Step 6: Final answer
    x = 226,489.90

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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.