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Finding the Fourth Proportional to 348,596.94, 522,914.97 and 99,259.50

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Solution

The fourth proportional to 348,596.94, 522,914.97 and 99,259.50 is: 148,894.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,596.94 : 522,914.97 = 99,259.50 : x
  2. Step 2: Convert to fraction form
    348,596.94/522,914.97 = 99,259.50/x
  3. Step 3: Cross multiply
    348,596.94x = 522,914.97 × 99,259.50
  4. Step 4: Simplify right side
    348,596.94x = 51,904,278,464.72
  5. Step 5: Solve for x
    x = 51,904,278,464.72/348,596.94
  6. Step 6: Final answer
    x = 148,894.82

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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.