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Finding the Fourth Proportional to 381,051.14, 525,802.24 and 208,923.80

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Solution

The fourth proportional to 381,051.14, 525,802.24 and 208,923.80 is: 288,288.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,051.14 : 525,802.24 = 208,923.80 : x
  2. Step 2: Convert to fraction form
    381,051.14/525,802.24 = 208,923.80/x
  3. Step 3: Cross multiply
    381,051.14x = 525,802.24 × 208,923.80
  4. Step 4: Simplify right side
    381,051.14x = 109,852,602,029.31
  5. Step 5: Solve for x
    x = 109,852,602,029.31/381,051.14
  6. Step 6: Final answer
    x = 288,288.34

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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.