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Finding the Fourth Proportional to 348,441, 522,612.32 and 111,752.96

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Solution

The fourth proportional to 348,441, 522,612.32 and 111,752.96 is: 167,613.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,441 : 522,612.32 = 111,752.96 : x
  2. Step 2: Convert to fraction form
    348,441/522,612.32 = 111,752.96/x
  3. Step 3: Cross multiply
    348,441x = 522,612.32 × 111,752.96
  4. Step 4: Simplify right side
    348,441x = 58,403,473,692.47
  5. Step 5: Solve for x
    x = 58,403,473,692.47/348,441
  6. Step 6: Final answer
    x = 167,613.67

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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.