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Finding the Fourth Proportional to 470,153.74, 705,225.75 and 115,169.62

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Solution

The fourth proportional to 470,153.74, 705,225.75 and 115,169.62 is: 172,753.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,153.74 : 705,225.75 = 115,169.62 : x
  2. Step 2: Convert to fraction form
    470,153.74/705,225.75 = 115,169.62/x
  3. Step 3: Cross multiply
    470,153.74x = 705,225.75 × 115,169.62
  4. Step 4: Simplify right side
    470,153.74x = 81,220,581,641.72
  5. Step 5: Solve for x
    x = 81,220,581,641.72/470,153.74
  6. Step 6: Final answer
    x = 172,753.24

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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.