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Finding the Fourth Proportional to 1,430,787.71, 1,974,596.94 and 819,132.41

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Solution

The fourth proportional to 1,430,787.71, 1,974,596.94 and 819,132.41 is: 1,130,465.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430,787.71 : 1,974,596.94 = 819,132.41 : x
  2. Step 2: Convert to fraction form
    1,430,787.71/1,974,596.94 = 819,132.41/x
  3. Step 3: Cross multiply
    1,430,787.71x = 1,974,596.94 × 819,132.41
  4. Step 4: Simplify right side
    1,430,787.71x = 1,617,456,355,177.32
  5. Step 5: Solve for x
    x = 1,617,456,355,177.32/1,430,787.71
  6. Step 6: Final answer
    x = 1,130,465.65

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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.