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Finding the Fourth Proportional to 347,072.25, 520,650.50 and 97,754.25

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Solution

The fourth proportional to 347,072.25, 520,650.50 and 97,754.25 is: 146,643.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,072.25 : 520,650.50 = 97,754.25 : x
  2. Step 2: Convert to fraction form
    347,072.25/520,650.50 = 97,754.25/x
  3. Step 3: Cross multiply
    347,072.25x = 520,650.50 × 97,754.25
  4. Step 4: Simplify right side
    347,072.25x = 50,895,799,139.63
  5. Step 5: Solve for x
    x = 50,895,799,139.63/347,072.25
  6. Step 6: Final answer
    x = 146,643.24

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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.