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Finding the Fourth Proportional to 1,411,949.56, 1,948,505.42 and 767,369.80

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Solution

The fourth proportional to 1,411,949.56, 1,948,505.42 and 767,369.80 is: 1,058,978.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,949.56 : 1,948,505.42 = 767,369.80 : x
  2. Step 2: Convert to fraction form
    1,411,949.56/1,948,505.42 = 767,369.80/x
  3. Step 3: Cross multiply
    1,411,949.56x = 1,948,505.42 × 767,369.80
  4. Step 4: Simplify right side
    1,411,949.56x = 1,495,224,214,444.32
  5. Step 5: Solve for x
    x = 1,495,224,214,444.32/1,411,949.56
  6. Step 6: Final answer
    x = 1,058,978.49

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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.