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Finding the Fourth Proportional to 515,427.84, 711,329.38 and 286,028.56

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Solution

The fourth proportional to 515,427.84, 711,329.38 and 286,028.56 is: 394,741.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,427.84 : 711,329.38 = 286,028.56 : x
  2. Step 2: Convert to fraction form
    515,427.84/711,329.38 = 286,028.56/x
  3. Step 3: Cross multiply
    515,427.84x = 711,329.38 × 286,028.56
  4. Step 4: Simplify right side
    515,427.84x = 203,460,518,247.09
  5. Step 5: Solve for x
    x = 203,460,518,247.09/515,427.84
  6. Step 6: Final answer
    x = 394,741.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.