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Finding the Fourth Proportional to 469,865.98, 704,792.67 and 114,883.06

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Solution

The fourth proportional to 469,865.98, 704,792.67 and 114,883.06 is: 172,323.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,865.98 : 704,792.67 = 114,883.06 : x
  2. Step 2: Convert to fraction form
    469,865.98/704,792.67 = 114,883.06/x
  3. Step 3: Cross multiply
    469,865.98x = 704,792.67 × 114,883.06
  4. Step 4: Simplify right side
    469,865.98x = 80,968,738,595.17
  5. Step 5: Solve for x
    x = 80,968,738,595.17/469,865.98
  6. Step 6: Final answer
    x = 172,323.05

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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.