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Finding the Fourth Proportional to 369,424.16, 509,804.57 and 199,657.88

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Solution

The fourth proportional to 369,424.16, 509,804.57 and 199,657.88 is: 275,527.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,424.16 : 509,804.57 = 199,657.88 : x
  2. Step 2: Convert to fraction form
    369,424.16/509,804.57 = 199,657.88/x
  3. Step 3: Cross multiply
    369,424.16x = 509,804.57 × 199,657.88
  4. Step 4: Simplify right side
    369,424.16x = 101,786,496,113.20
  5. Step 5: Solve for x
    x = 101,786,496,113.20/369,424.16
  6. Step 6: Final answer
    x = 275,527.45

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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.