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Finding the Fourth Proportional to 415,315.14, 623,024.61 and 162,563.01

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Solution

The fourth proportional to 415,315.14, 623,024.61 and 162,563.01 is: 243,864.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,315.14 : 623,024.61 = 162,563.01 : x
  2. Step 2: Convert to fraction form
    415,315.14/623,024.61 = 162,563.01/x
  3. Step 3: Cross multiply
    415,315.14x = 623,024.61 × 162,563.01
  4. Step 4: Simplify right side
    415,315.14x = 101,280,755,905.68
  5. Step 5: Solve for x
    x = 101,280,755,905.68/415,315.14
  6. Step 6: Final answer
    x = 243,864.83

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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.