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Finding the Fourth Proportional to 470,179.47, 705,388.55 and 217,641.99

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Solution

The fourth proportional to 470,179.47, 705,388.55 and 217,641.99 is: 326,518.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,179.47 : 705,388.55 = 217,641.99 : x
  2. Step 2: Convert to fraction form
    470,179.47/705,388.55 = 217,641.99/x
  3. Step 3: Cross multiply
    470,179.47x = 705,388.55 × 217,641.99
  4. Step 4: Simplify right side
    470,179.47x = 153,522,166,657.01
  5. Step 5: Solve for x
    x = 153,522,166,657.01/470,179.47
  6. Step 6: Final answer
    x = 326,518.23

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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.