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Finding the Fourth Proportional to 470,083.88, 705,406.01 and 170,587.83

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Solution

The fourth proportional to 470,083.88, 705,406.01 and 170,587.83 is: 255,983.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,083.88 : 705,406.01 = 170,587.83 : x
  2. Step 2: Convert to fraction form
    470,083.88/705,406.01 = 170,587.83/x
  3. Step 3: Cross multiply
    470,083.88x = 705,406.01 × 170,587.83
  4. Step 4: Simplify right side
    470,083.88x = 120,333,679,661.92
  5. Step 5: Solve for x
    x = 120,333,679,661.92/470,083.88
  6. Step 6: Final answer
    x = 255,983.42

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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.