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Finding the Fourth Proportional to 347,070.50, 520,647.87 and 97,752.50

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Solution

The fourth proportional to 347,070.50, 520,647.87 and 97,752.50 is: 146,640.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,070.50 : 520,647.87 = 97,752.50 : x
  2. Step 2: Convert to fraction form
    347,070.50/520,647.87 = 97,752.50/x
  3. Step 3: Cross multiply
    347,070.50x = 520,647.87 × 97,752.50
  4. Step 4: Simplify right side
    347,070.50x = 50,894,628,308.94
  5. Step 5: Solve for x
    x = 50,894,628,308.94/347,070.50
  6. Step 6: Final answer
    x = 146,640.61

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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.