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Finding the Fourth Proportional to 347,029.80, 520,544.70 and 310,288.20

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Solution

The fourth proportional to 347,029.80, 520,544.70 and 310,288.20 is: 465,432.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,029.80 : 520,544.70 = 310,288.20 : x
  2. Step 2: Convert to fraction form
    347,029.80/520,544.70 = 310,288.20/x
  3. Step 3: Cross multiply
    347,029.80x = 520,544.70 × 310,288.20
  4. Step 4: Simplify right side
    347,029.80x = 161,518,877,982.54
  5. Step 5: Solve for x
    x = 161,518,877,982.54/347,029.80
  6. Step 6: Final answer
    x = 465,432.30

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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.