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Finding the Fourth Proportional to 384,523.81, 576,410.81 and 153,644.00

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Solution

The fourth proportional to 384,523.81, 576,410.81 and 153,644.00 is: 230,316.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,523.81 : 576,410.81 = 153,644.00 : x
  2. Step 2: Convert to fraction form
    384,523.81/576,410.81 = 153,644.00/x
  3. Step 3: Cross multiply
    384,523.81x = 576,410.81 × 153,644.00
  4. Step 4: Simplify right side
    384,523.81x = 88,562,058,841.37
  5. Step 5: Solve for x
    x = 88,562,058,841.37/384,523.81
  6. Step 6: Final answer
    x = 230,316.19

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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.