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Finding the Fourth Proportional to 380,875.32, 525,589.56 and 219,782.40

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Solution

The fourth proportional to 380,875.32, 525,589.56 and 219,782.40 is: 303,289.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,875.32 : 525,589.56 = 219,782.40 : x
  2. Step 2: Convert to fraction form
    380,875.32/525,589.56 = 219,782.40/x
  3. Step 3: Cross multiply
    380,875.32x = 525,589.56 × 219,782.40
  4. Step 4: Simplify right side
    380,875.32x = 115,515,334,911.74
  5. Step 5: Solve for x
    x = 115,515,334,911.74/380,875.32
  6. Step 6: Final answer
    x = 303,289.10

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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.