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Finding the Fourth Proportional to 515,138.06, 710,890.53 and 288,783.56

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Solution

The fourth proportional to 515,138.06, 710,890.53 and 288,783.56 is: 398,521.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,138.06 : 710,890.53 = 288,783.56 : x
  2. Step 2: Convert to fraction form
    515,138.06/710,890.53 = 288,783.56/x
  3. Step 3: Cross multiply
    515,138.06x = 710,890.53 × 288,783.56
  4. Step 4: Simplify right side
    515,138.06x = 205,293,498,717.98
  5. Step 5: Solve for x
    x = 205,293,498,717.98/515,138.06
  6. Step 6: Final answer
    x = 398,521.32

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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.