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Finding the Fourth Proportional to 369,037.42, 509,273.43 and 207,895

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Solution

The fourth proportional to 369,037.42, 509,273.43 and 207,895 is: 286,896.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,037.42 : 509,273.43 = 207,895 : x
  2. Step 2: Convert to fraction form
    369,037.42/509,273.43 = 207,895/x
  3. Step 3: Cross multiply
    369,037.42x = 509,273.43 × 207,895
  4. Step 4: Simplify right side
    369,037.42x = 105,875,399,729.85
  5. Step 5: Solve for x
    x = 105,875,399,729.85/369,037.42
  6. Step 6: Final answer
    x = 286,896.11

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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.