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Finding the Fourth Proportional to 1,411,935.54, 1,948,486.10 and 767,355.77

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Solution

The fourth proportional to 1,411,935.54, 1,948,486.10 and 767,355.77 is: 1,058,959.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,935.54 : 1,948,486.10 = 767,355.77 : x
  2. Step 2: Convert to fraction form
    1,411,935.54/1,948,486.10 = 767,355.77/x
  3. Step 3: Cross multiply
    1,411,935.54x = 1,948,486.10 × 767,355.77
  4. Step 4: Simplify right side
    1,411,935.54x = 1,495,182,038,020.59
  5. Step 5: Solve for x
    x = 1,495,182,038,020.59/1,411,935.54
  6. Step 6: Final answer
    x = 1,058,959.13

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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.