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Finding the Fourth Proportional to 470,153.77, 705,279.86 and 154,635.28

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Solution

The fourth proportional to 470,153.77, 705,279.86 and 154,635.28 is: 231,969.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,153.77 : 705,279.86 = 154,635.28 : x
  2. Step 2: Convert to fraction form
    470,153.77/705,279.86 = 154,635.28/x
  3. Step 3: Cross multiply
    470,153.77x = 705,279.86 × 154,635.28
  4. Step 4: Simplify right side
    470,153.77x = 109,061,146,672.97
  5. Step 5: Solve for x
    x = 109,061,146,672.97/470,153.77
  6. Step 6: Final answer
    x = 231,969.10

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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.