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Finding the Fourth Proportional to 483,783.14, 725,579.94 and 459,779.06

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Solution

The fourth proportional to 483,783.14, 725,579.94 and 459,779.06 is: 689,578.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,783.14 : 725,579.94 = 459,779.06 : x
  2. Step 2: Convert to fraction form
    483,783.14/725,579.94 = 459,779.06/x
  3. Step 3: Cross multiply
    483,783.14x = 725,579.94 × 459,779.06
  4. Step 4: Simplify right side
    483,783.14x = 333,606,462,768.06
  5. Step 5: Solve for x
    x = 333,606,462,768.06/483,783.14
  6. Step 6: Final answer
    x = 689,578.52

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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.