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Finding the Fourth Proportional to 1,409,838.93, 1,945,579.23 and 765,259.02

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Solution

The fourth proportional to 1,409,838.93, 1,945,579.23 and 765,259.02 is: 1,056,058.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,838.93 : 1,945,579.23 = 765,259.02 : x
  2. Step 2: Convert to fraction form
    1,409,838.93/1,945,579.23 = 765,259.02/x
  3. Step 3: Cross multiply
    1,409,838.93x = 1,945,579.23 × 765,259.02
  4. Step 4: Simplify right side
    1,409,838.93x = 1,488,872,054,882.15
  5. Step 5: Solve for x
    x = 1,488,872,054,882.15/1,409,838.93
  6. Step 6: Final answer
    x = 1,056,058.27

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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.