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Finding the Fourth Proportional to 384,037.86, 575,507.76 and 282,035.82

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Solution

The fourth proportional to 384,037.86, 575,507.76 and 282,035.82 is: 422,650.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,037.86 : 575,507.76 = 282,035.82 : x
  2. Step 2: Convert to fraction form
    384,037.86/575,507.76 = 282,035.82/x
  3. Step 3: Cross multiply
    384,037.86x = 575,507.76 × 282,035.82
  4. Step 4: Simplify right side
    384,037.86x = 162,313,803,007.96
  5. Step 5: Solve for x
    x = 162,313,803,007.96/384,037.86
  6. Step 6: Final answer
    x = 422,650.52

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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.