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Finding the Fourth Proportional to 469,348.73, 704,021.73 and 405,980.40

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Solution

The fourth proportional to 469,348.73, 704,021.73 and 405,980.40 is: 608,969.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,348.73 : 704,021.73 = 405,980.40 : x
  2. Step 2: Convert to fraction form
    469,348.73/704,021.73 = 405,980.40/x
  3. Step 3: Cross multiply
    469,348.73x = 704,021.73 × 405,980.40
  4. Step 4: Simplify right side
    469,348.73x = 285,819,024,671.75
  5. Step 5: Solve for x
    x = 285,819,024,671.75/469,348.73
  6. Step 6: Final answer
    x = 608,969.42

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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.