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Finding the Fourth Proportional to 470,553.48, 705,518.16 and 170,998.47

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Solution

The fourth proportional to 470,553.48, 705,518.16 and 170,998.47 is: 256,384.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,553.48 : 705,518.16 = 170,998.47 : x
  2. Step 2: Convert to fraction form
    470,553.48/705,518.16 = 170,998.47/x
  3. Step 3: Cross multiply
    470,553.48x = 705,518.16 × 170,998.47
  4. Step 4: Simplify right side
    470,553.48x = 120,642,525,917.22
  5. Step 5: Solve for x
    x = 120,642,525,917.22/470,553.48
  6. Step 6: Final answer
    x = 256,384.30

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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.