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Finding the Fourth Proportional to 470,369.10, 705,553.65 and 154,749.90

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Solution

The fourth proportional to 470,369.10, 705,553.65 and 154,749.90 is: 232,124.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,369.10 : 705,553.65 = 154,749.90 : x
  2. Step 2: Convert to fraction form
    470,369.10/705,553.65 = 154,749.90/x
  3. Step 3: Cross multiply
    470,369.10x = 705,553.65 × 154,749.90
  4. Step 4: Simplify right side
    470,369.10x = 109,184,356,782.14
  5. Step 5: Solve for x
    x = 109,184,356,782.14/470,369.10
  6. Step 6: Final answer
    x = 232,124.85

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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.