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Finding the Fourth Proportional to 654,511.92, 903,208.50 and 368,024.64

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Solution

The fourth proportional to 654,511.92, 903,208.50 and 368,024.64 is: 507,863.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,511.92 : 903,208.50 = 368,024.64 : x
  2. Step 2: Convert to fraction form
    654,511.92/903,208.50 = 368,024.64/x
  3. Step 3: Cross multiply
    654,511.92x = 903,208.50 × 368,024.64
  4. Step 4: Simplify right side
    654,511.92x = 332,402,983,057.44
  5. Step 5: Solve for x
    x = 332,402,983,057.44/654,511.92
  6. Step 6: Final answer
    x = 507,863.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.