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Finding the Fourth Proportional to 384,150.34, 576,009.51 and 264,348.10

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Solution

The fourth proportional to 384,150.34, 576,009.51 and 264,348.10 is: 396,373.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,150.34 : 576,009.51 = 264,348.10 : x
  2. Step 2: Convert to fraction form
    384,150.34/576,009.51 = 264,348.10/x
  3. Step 3: Cross multiply
    384,150.34x = 576,009.51 × 264,348.10
  4. Step 4: Simplify right side
    384,150.34x = 152,267,019,550.43
  5. Step 5: Solve for x
    x = 152,267,019,550.43/384,150.34
  6. Step 6: Final answer
    x = 396,373.51

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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.