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Finding the Fourth Proportional to 1,411,964.22, 1,948,523.40 and 767,385.93

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Solution

The fourth proportional to 1,411,964.22, 1,948,523.40 and 767,385.93 is: 1,058,999.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,964.22 : 1,948,523.40 = 767,385.93 : x
  2. Step 2: Convert to fraction form
    1,411,964.22/1,948,523.40 = 767,385.93/x
  3. Step 3: Cross multiply
    1,411,964.22x = 1,948,523.40 × 767,385.93
  4. Step 4: Simplify right side
    1,411,964.22x = 1,495,269,441,435.76
  5. Step 5: Solve for x
    x = 1,495,269,441,435.76/1,411,964.22
  6. Step 6: Final answer
    x = 1,058,999.53

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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.