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Finding the Fourth Proportional to 347,825.37, 520,687.68 and 314,561.10

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Solution

The fourth proportional to 347,825.37, 520,687.68 and 314,561.10 is: 470,891.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,825.37 : 520,687.68 = 314,561.10 : x
  2. Step 2: Convert to fraction form
    347,825.37/520,687.68 = 314,561.10/x
  3. Step 3: Cross multiply
    347,825.37x = 520,687.68 × 314,561.10
  4. Step 4: Simplify right side
    347,825.37x = 163,788,090,150.22
  5. Step 5: Solve for x
    x = 163,788,090,150.22/347,825.37
  6. Step 6: Final answer
    x = 470,891.72

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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.