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Finding the Fourth Proportional to 401,684.96, 602,502.68 and 165,021.50

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Solution

The fourth proportional to 401,684.96, 602,502.68 and 165,021.50 is: 247,522.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,684.96 : 602,502.68 = 165,021.50 : x
  2. Step 2: Convert to fraction form
    401,684.96/602,502.68 = 165,021.50/x
  3. Step 3: Cross multiply
    401,684.96x = 602,502.68 × 165,021.50
  4. Step 4: Simplify right side
    401,684.96x = 99,425,896,007.62
  5. Step 5: Solve for x
    x = 99,425,896,007.62/401,684.96
  6. Step 6: Final answer
    x = 247,522.08

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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.