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Finding the Fourth Proportional to 349,313.16, 523,531.35 and 149,398.50

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Solution

The fourth proportional to 349,313.16, 523,531.35 and 149,398.50 is: 223,910.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,313.16 : 523,531.35 = 149,398.50 : x
  2. Step 2: Convert to fraction form
    349,313.16/523,531.35 = 149,398.50/x
  3. Step 3: Cross multiply
    349,313.16x = 523,531.35 × 149,398.50
  4. Step 4: Simplify right side
    349,313.16x = 78,214,798,392.98
  5. Step 5: Solve for x
    x = 78,214,798,392.98/349,313.16
  6. Step 6: Final answer
    x = 223,910.25

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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.