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Finding the Fourth Proportional to 347,070.25, 520,647.49 and 97,752.25

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Solution

The fourth proportional to 347,070.25, 520,647.49 and 97,752.25 is: 146,640.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,070.25 : 520,647.49 = 97,752.25 : x
  2. Step 2: Convert to fraction form
    347,070.25/520,647.49 = 97,752.25/x
  3. Step 3: Cross multiply
    347,070.25x = 520,647.49 × 97,752.25
  4. Step 4: Simplify right side
    347,070.25x = 50,894,463,604.35
  5. Step 5: Solve for x
    x = 50,894,463,604.35/347,070.25
  6. Step 6: Final answer
    x = 146,640.24

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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.