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Finding the Fourth Proportional to 413,816.32, 620,712.21 and 114,314.92

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Solution

The fourth proportional to 413,816.32, 620,712.21 and 114,314.92 is: 171,468.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,816.32 : 620,712.21 = 114,314.92 : x
  2. Step 2: Convert to fraction form
    413,816.32/620,712.21 = 114,314.92/x
  3. Step 3: Cross multiply
    413,816.32x = 620,712.21 × 114,314.92
  4. Step 4: Simplify right side
    413,816.32x = 70,956,666,629.17
  5. Step 5: Solve for x
    x = 70,956,666,629.17/413,816.32
  6. Step 6: Final answer
    x = 171,468.99

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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.