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Finding the Fourth Proportional to 346,762, 520,249.32 and 310,997.32

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Solution

The fourth proportional to 346,762, 520,249.32 and 310,997.32 is: 466,591.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,762 : 520,249.32 = 310,997.32 : x
  2. Step 2: Convert to fraction form
    346,762/520,249.32 = 310,997.32/x
  3. Step 3: Cross multiply
    346,762x = 520,249.32 × 310,997.32
  4. Step 4: Simplify right side
    346,762x = 161,796,144,251.82
  5. Step 5: Solve for x
    x = 161,796,144,251.82/346,762
  6. Step 6: Final answer
    x = 466,591.33

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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.