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Finding the Fourth Proportional to 470,554.48, 705,519.66 and 170,999.47

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Solution

The fourth proportional to 470,554.48, 705,519.66 and 170,999.47 is: 256,385.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,554.48 : 705,519.66 = 170,999.47 : x
  2. Step 2: Convert to fraction form
    470,554.48/705,519.66 = 170,999.47/x
  3. Step 3: Cross multiply
    470,554.48x = 705,519.66 × 170,999.47
  4. Step 4: Simplify right side
    470,554.48x = 120,643,487,934.58
  5. Step 5: Solve for x
    x = 120,643,487,934.58/470,554.48
  6. Step 6: Final answer
    x = 256,385.80

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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.