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Finding the Fourth Proportional to 1,411,942.55, 1,948,495.82 and 767,362.77

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Solution

The fourth proportional to 1,411,942.55, 1,948,495.82 and 767,362.77 is: 1,058,968.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,942.55 : 1,948,495.82 = 767,362.77 : x
  2. Step 2: Convert to fraction form
    1,411,942.55/1,948,495.82 = 767,362.77/x
  3. Step 3: Cross multiply
    1,411,942.55x = 1,948,495.82 × 767,362.77
  4. Step 4: Simplify right side
    1,411,942.55x = 1,495,203,145,931.81
  5. Step 5: Solve for x
    x = 1,495,203,145,931.81/1,411,942.55
  6. Step 6: Final answer
    x = 1,058,968.83

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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.