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Finding the Fourth Proportional to 398,409.19, 597,730.83 and 117,933.73

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Solution

The fourth proportional to 398,409.19, 597,730.83 and 117,933.73 is: 176,935.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,409.19 : 597,730.83 = 117,933.73 : x
  2. Step 2: Convert to fraction form
    398,409.19/597,730.83 = 117,933.73/x
  3. Step 3: Cross multiply
    398,409.19x = 597,730.83 × 117,933.73
  4. Step 4: Simplify right side
    398,409.19x = 70,492,624,381.32
  5. Step 5: Solve for x
    x = 70,492,624,381.32/398,409.19
  6. Step 6: Final answer
    x = 176,935.24

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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.