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Finding the Fourth Proportional to 470,170.20, 705,368.70 and 154,610.40

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Solution

The fourth proportional to 470,170.20, 705,368.70 and 154,610.40 is: 231,952.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,170.20 : 705,368.70 = 154,610.40 : x
  2. Step 2: Convert to fraction form
    470,170.20/705,368.70 = 154,610.40/x
  3. Step 3: Cross multiply
    470,170.20x = 705,368.70 × 154,610.40
  4. Step 4: Simplify right side
    470,170.20x = 109,057,336,854.48
  5. Step 5: Solve for x
    x = 109,057,336,854.48/470,170.20
  6. Step 6: Final answer
    x = 231,952.89

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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.