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Finding the Fourth Proportional to 513,795.68, 709,023.44 and 284,362.58

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Solution

The fourth proportional to 513,795.68, 709,023.44 and 284,362.58 is: 392,412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,795.68 : 709,023.44 = 284,362.58 : x
  2. Step 2: Convert to fraction form
    513,795.68/709,023.44 = 284,362.58/x
  3. Step 3: Cross multiply
    513,795.68x = 709,023.44 × 284,362.58
  4. Step 4: Simplify right side
    513,795.68x = 201,619,734,678.88
  5. Step 5: Solve for x
    x = 201,619,734,678.88/513,795.68
  6. Step 6: Final answer
    x = 392,412.28

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