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Finding the Fourth Proportional to 469,706, 704,411 and 154,089.36

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Solution

The fourth proportional to 469,706, 704,411 and 154,089.36 is: 231,085.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,706 : 704,411 = 154,089.36 : x
  2. Step 2: Convert to fraction form
    469,706/704,411 = 154,089.36/x
  3. Step 3: Cross multiply
    469,706x = 704,411 × 154,089.36
  4. Step 4: Simplify right side
    469,706x = 108,542,240,166.96
  5. Step 5: Solve for x
    x = 108,542,240,166.96/469,706
  6. Step 6: Final answer
    x = 231,085.49

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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.