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Finding the Fourth Proportional to 470,605.12, 705,995.16 and 155,074.48

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Solution

The fourth proportional to 470,605.12, 705,995.16 and 155,074.48 is: 232,640.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,605.12 : 705,995.16 = 155,074.48 : x
  2. Step 2: Convert to fraction form
    470,605.12/705,995.16 = 155,074.48/x
  3. Step 3: Cross multiply
    470,605.12x = 705,995.16 × 155,074.48
  4. Step 4: Simplify right side
    470,605.12x = 109,481,832,319.52
  5. Step 5: Solve for x
    x = 109,481,832,319.52/470,605.12
  6. Step 6: Final answer
    x = 232,640.55

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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.