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Finding the Fourth Proportional to 470,220.90, 705,024.63 and 170,644.74

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Solution

The fourth proportional to 470,220.90, 705,024.63 and 170,644.74 is: 255,855.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,220.90 : 705,024.63 = 170,644.74 : x
  2. Step 2: Convert to fraction form
    470,220.90/705,024.63 = 170,644.74/x
  3. Step 3: Cross multiply
    470,220.90x = 705,024.63 × 170,644.74
  4. Step 4: Simplify right side
    470,220.90x = 120,308,744,679.95
  5. Step 5: Solve for x
    x = 120,308,744,679.95/470,220.90
  6. Step 6: Final answer
    x = 255,855.80

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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.