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Finding the Fourth Proportional to 1,410,931.84, 1,947,100.20 and 766,364.60

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Solution

The fourth proportional to 1,410,931.84, 1,947,100.20 and 766,364.60 is: 1,057,590.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,931.84 : 1,947,100.20 = 766,364.60 : x
  2. Step 2: Convert to fraction form
    1,410,931.84/1,947,100.20 = 766,364.60/x
  3. Step 3: Cross multiply
    1,410,931.84x = 1,947,100.20 × 766,364.60
  4. Step 4: Simplify right side
    1,410,931.84x = 1,492,188,665,932.92
  5. Step 5: Solve for x
    x = 1,492,188,665,932.92/1,410,931.84
  6. Step 6: Final answer
    x = 1,057,590.89

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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.