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Finding the Fourth Proportional to 1,006,783, 1,510,873.98 and 650,914.36

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Solution

The fourth proportional to 1,006,783, 1,510,873.98 and 650,914.36 is: 976,823.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006,783 : 1,510,873.98 = 650,914.36 : x
  2. Step 2: Convert to fraction form
    1,006,783/1,510,873.98 = 650,914.36/x
  3. Step 3: Cross multiply
    1,006,783x = 1,510,873.98 × 650,914.36
  4. Step 4: Simplify right side
    1,006,783x = 983,449,569,732.35
  5. Step 5: Solve for x
    x = 983,449,569,732.35/1,006,783
  6. Step 6: Final answer
    x = 976,823.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.