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Finding the Fourth Proportional to 469,351.74, 704,026.23 and 405,983.40

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Solution

The fourth proportional to 469,351.74, 704,026.23 and 405,983.40 is: 608,973.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,351.74 : 704,026.23 = 405,983.40 : x
  2. Step 2: Convert to fraction form
    469,351.74/704,026.23 = 405,983.40/x
  3. Step 3: Cross multiply
    469,351.74x = 704,026.23 × 405,983.40
  4. Step 4: Simplify right side
    469,351.74x = 285,822,962,544.58
  5. Step 5: Solve for x
    x = 285,822,962,544.58/469,351.74
  6. Step 6: Final answer
    x = 608,973.91

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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.