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Finding the Fourth Proportional to 298,405.02, 411,817.59 and 164,269.02

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Solution

The fourth proportional to 298,405.02, 411,817.59 and 164,269.02 is: 226,701.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,405.02 : 411,817.59 = 164,269.02 : x
  2. Step 2: Convert to fraction form
    298,405.02/411,817.59 = 164,269.02/x
  3. Step 3: Cross multiply
    298,405.02x = 411,817.59 × 164,269.02
  4. Step 4: Simplify right side
    298,405.02x = 67,648,871,928.06
  5. Step 5: Solve for x
    x = 67,648,871,928.06/298,405.02
  6. Step 6: Final answer
    x = 226,701.52

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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.