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Finding the Fourth Proportional to 369,985.44, 510,580.32 and 200,219.58

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Solution

The fourth proportional to 369,985.44, 510,580.32 and 200,219.58 is: 276,303.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,985.44 : 510,580.32 = 200,219.58 : x
  2. Step 2: Convert to fraction form
    369,985.44/510,580.32 = 200,219.58/x
  3. Step 3: Cross multiply
    369,985.44x = 510,580.32 × 200,219.58
  4. Step 4: Simplify right side
    369,985.44x = 102,228,177,226.67
  5. Step 5: Solve for x
    x = 102,228,177,226.67/369,985.44
  6. Step 6: Final answer
    x = 276,303.24

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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.