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Finding the Fourth Proportional to 521,388, 719,515.44 and 282,924

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Solution

The fourth proportional to 521,388, 719,515.44 and 282,924 is: 390,435.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,388 : 719,515.44 = 282,924 : x
  2. Step 2: Convert to fraction form
    521,388/719,515.44 = 282,924/x
  3. Step 3: Cross multiply
    521,388x = 719,515.44 × 282,924
  4. Step 4: Simplify right side
    521,388x = 203,568,186,346.56
  5. Step 5: Solve for x
    x = 203,568,186,346.56/521,388
  6. Step 6: Final answer
    x = 390,435.12

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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.