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Finding the Fourth Proportional to 369,076.40, 509,323.10 and 207,983.19

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Solution

The fourth proportional to 369,076.40, 509,323.10 and 207,983.19 is: 287,015.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,076.40 : 509,323.10 = 207,983.19 : x
  2. Step 2: Convert to fraction form
    369,076.40/509,323.10 = 207,983.19/x
  3. Step 3: Cross multiply
    369,076.40x = 509,323.10 × 207,983.19
  4. Step 4: Simplify right side
    369,076.40x = 105,930,642,038.77
  5. Step 5: Solve for x
    x = 105,930,642,038.77/369,076.40
  6. Step 6: Final answer
    x = 287,015.49

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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.