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Finding the Fourth Proportional to 519,333.65, 778,530.27 and 203,705.81

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Solution

The fourth proportional to 519,333.65, 778,530.27 and 203,705.81 is: 305,374.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,333.65 : 778,530.27 = 203,705.81 : x
  2. Step 2: Convert to fraction form
    519,333.65/778,530.27 = 203,705.81/x
  3. Step 3: Cross multiply
    519,333.65x = 778,530.27 × 203,705.81
  4. Step 4: Simplify right side
    519,333.65x = 158,591,139,259.87
  5. Step 5: Solve for x
    x = 158,591,139,259.87/519,333.65
  6. Step 6: Final answer
    x = 305,374.28

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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.