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Finding the Fourth Proportional to 1,648,973.49, 2,275,648.74 and 923,827.20

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Solution

The fourth proportional to 1,648,973.49, 2,275,648.74 and 923,827.20 is: 1,274,918.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,973.49 : 2,275,648.74 = 923,827.20 : x
  2. Step 2: Convert to fraction form
    1,648,973.49/2,275,648.74 = 923,827.20/x
  3. Step 3: Cross multiply
    1,648,973.49x = 2,275,648.74 × 923,827.20
  4. Step 4: Simplify right side
    1,648,973.49x = 2,102,306,203,657.73
  5. Step 5: Solve for x
    x = 2,102,306,203,657.73/1,648,973.49
  6. Step 6: Final answer
    x = 1,274,918.13

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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.