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Finding the Fourth Proportional to 469,957.70, 704,963.94 and 132,970.16

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Solution

The fourth proportional to 469,957.70, 704,963.94 and 132,970.16 is: 199,462.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,957.70 : 704,963.94 = 132,970.16 : x
  2. Step 2: Convert to fraction form
    469,957.70/704,963.94 = 132,970.16/x
  3. Step 3: Cross multiply
    469,957.70x = 704,963.94 × 132,970.16
  4. Step 4: Simplify right side
    469,957.70x = 93,739,167,896.03
  5. Step 5: Solve for x
    x = 93,739,167,896.03/469,957.70
  6. Step 6: Final answer
    x = 199,462.99

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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.