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Finding the Fourth Proportional to 380,416.14, 524,970.48 and 205,985.49

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Solution

The fourth proportional to 380,416.14, 524,970.48 and 205,985.49 is: 284,257.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,416.14 : 524,970.48 = 205,985.49 : x
  2. Step 2: Convert to fraction form
    380,416.14/524,970.48 = 205,985.49/x
  3. Step 3: Cross multiply
    380,416.14x = 524,970.48 × 205,985.49
  4. Step 4: Simplify right side
    380,416.14x = 108,136,301,558.34
  5. Step 5: Solve for x
    x = 108,136,301,558.34/380,416.14
  6. Step 6: Final answer
    x = 284,257.92

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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.