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Finding the Fourth Proportional to 298,864.49, 412,430.36 and 162,898.43

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Solution

The fourth proportional to 298,864.49, 412,430.36 and 162,898.43 is: 224,798.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,864.49 : 412,430.36 = 162,898.43 : x
  2. Step 2: Convert to fraction form
    298,864.49/412,430.36 = 162,898.43/x
  3. Step 3: Cross multiply
    298,864.49x = 412,430.36 × 162,898.43
  4. Step 4: Simplify right side
    298,864.49x = 67,184,255,251.69
  5. Step 5: Solve for x
    x = 67,184,255,251.69/298,864.49
  6. Step 6: Final answer
    x = 224,798.39

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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.