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Finding the Fourth Proportional to 298,528.14, 411,979.02 and 162,564.42

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Solution

The fourth proportional to 298,528.14, 411,979.02 and 162,564.42 is: 224,344.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,528.14 : 411,979.02 = 162,564.42 : x
  2. Step 2: Convert to fraction form
    298,528.14/411,979.02 = 162,564.42/x
  3. Step 3: Cross multiply
    298,528.14x = 411,979.02 × 162,564.42
  4. Step 4: Simplify right side
    298,528.14x = 66,973,130,438.47
  5. Step 5: Solve for x
    x = 66,973,130,438.47/298,528.14
  6. Step 6: Final answer
    x = 224,344.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.