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Finding the Fourth Proportional to 475,873.70, 713,859.77 and 160,355.21

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Solution

The fourth proportional to 475,873.70, 713,859.77 and 160,355.21 is: 240,549.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,873.70 : 713,859.77 = 160,355.21 : x
  2. Step 2: Convert to fraction form
    475,873.70/713,859.77 = 160,355.21/x
  3. Step 3: Cross multiply
    475,873.70x = 713,859.77 × 160,355.21
  4. Step 4: Simplify right side
    475,873.70x = 114,471,133,328.90
  5. Step 5: Solve for x
    x = 114,471,133,328.90/475,873.70
  6. Step 6: Final answer
    x = 240,549.40

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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.