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Finding the Fourth Proportional to 470,215.50, 704,631.84 and 277,891.98

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Solution

The fourth proportional to 470,215.50, 704,631.84 and 277,891.98 is: 416,429.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,215.50 : 704,631.84 = 277,891.98 : x
  2. Step 2: Convert to fraction form
    470,215.50/704,631.84 = 277,891.98/x
  3. Step 3: Cross multiply
    470,215.50x = 704,631.84 × 277,891.98
  4. Step 4: Simplify right side
    470,215.50x = 195,811,537,188.64
  5. Step 5: Solve for x
    x = 195,811,537,188.64/470,215.50
  6. Step 6: Final answer
    x = 416,429.35

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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.