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Finding the Fourth Proportional to 1,411,516.96, 1,947,900.62 and 766,938.80

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Solution

The fourth proportional to 1,411,516.96, 1,947,900.62 and 766,938.80 is: 1,058,379.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,516.96 : 1,947,900.62 = 766,938.80 : x
  2. Step 2: Convert to fraction form
    1,411,516.96/1,947,900.62 = 766,938.80/x
  3. Step 3: Cross multiply
    1,411,516.96x = 1,947,900.62 × 766,938.80
  4. Step 4: Simplify right side
    1,411,516.96x = 1,493,920,564,022.06
  5. Step 5: Solve for x
    x = 1,493,920,564,022.06/1,411,516.96
  6. Step 6: Final answer
    x = 1,058,379.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.