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Finding the Fourth Proportional to 470,643.04, 705,958.44 and 115,660.18

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Solution

The fourth proportional to 470,643.04, 705,958.44 and 115,660.18 is: 173,488.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,643.04 : 705,958.44 = 115,660.18 : x
  2. Step 2: Convert to fraction form
    470,643.04/705,958.44 = 115,660.18/x
  3. Step 3: Cross multiply
    470,643.04x = 705,958.44 × 115,660.18
  4. Step 4: Simplify right side
    470,643.04x = 81,651,280,242.92
  5. Step 5: Solve for x
    x = 81,651,280,242.92/470,643.04
  6. Step 6: Final answer
    x = 173,488.77

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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.