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Finding the Fourth Proportional to 648,039.56, 972,059.34 and 204,773

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Solution

The fourth proportional to 648,039.56, 972,059.34 and 204,773 is: 307,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,039.56 : 972,059.34 = 204,773 : x
  2. Step 2: Convert to fraction form
    648,039.56/972,059.34 = 204,773/x
  3. Step 3: Cross multiply
    648,039.56x = 972,059.34 × 204,773
  4. Step 4: Simplify right side
    648,039.56x = 199,051,507,229.82
  5. Step 5: Solve for x
    x = 199,051,507,229.82/648,039.56
  6. Step 6: Final answer
    x = 307,159.50

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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.