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Finding the Fourth Proportional to 401,071.38, 601,294.82 and 198,527.74

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Solution

The fourth proportional to 401,071.38, 601,294.82 and 198,527.74 is: 297,637.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,071.38 : 601,294.82 = 198,527.74 : x
  2. Step 2: Convert to fraction form
    401,071.38/601,294.82 = 198,527.74/x
  3. Step 3: Cross multiply
    401,071.38x = 601,294.82 × 198,527.74
  4. Step 4: Simplify right side
    401,071.38x = 119,373,697,689.19
  5. Step 5: Solve for x
    x = 119,373,697,689.19/401,071.38
  6. Step 6: Final answer
    x = 297,637.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.