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Finding the Fourth Proportional to 470,593.62, 705,977.91 and 155,062.98

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Solution

The fourth proportional to 470,593.62, 705,977.91 and 155,062.98 is: 232,623.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,593.62 : 705,977.91 = 155,062.98 : x
  2. Step 2: Convert to fraction form
    470,593.62/705,977.91 = 155,062.98/x
  3. Step 3: Cross multiply
    470,593.62x = 705,977.91 × 155,062.98
  4. Step 4: Simplify right side
    470,593.62x = 109,471,038,538.77
  5. Step 5: Solve for x
    x = 109,471,038,538.77/470,593.62
  6. Step 6: Final answer
    x = 232,623.30

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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.