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Finding the Fourth Proportional to 470,110.40, 705,864.48 and 190,174.40

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Solution

The fourth proportional to 470,110.40, 705,864.48 and 190,174.40 is: 285,544.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,110.40 : 705,864.48 = 190,174.40 : x
  2. Step 2: Convert to fraction form
    470,110.40/705,864.48 = 190,174.40/x
  3. Step 3: Cross multiply
    470,110.40x = 705,864.48 × 190,174.40
  4. Step 4: Simplify right side
    470,110.40x = 134,237,353,965.31
  5. Step 5: Solve for x
    x = 134,237,353,965.31/470,110.40
  6. Step 6: Final answer
    x = 285,544.32

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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.