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Finding the Fourth Proportional to 476,018.70, 713,529.90 and 160,366.56

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Solution

The fourth proportional to 476,018.70, 713,529.90 and 160,366.56 is: 240,382.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,018.70 : 713,529.90 = 160,366.56 : x
  2. Step 2: Convert to fraction form
    476,018.70/713,529.90 = 160,366.56/x
  3. Step 3: Cross multiply
    476,018.70x = 713,529.90 × 160,366.56
  4. Step 4: Simplify right side
    476,018.70x = 114,426,335,520.14
  5. Step 5: Solve for x
    x = 114,426,335,520.14/476,018.70
  6. Step 6: Final answer
    x = 240,382.02

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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.