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Finding the Fourth Proportional to 1,741,973.24, 2,403,905.10 and 978,009.08

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Solution

The fourth proportional to 1,741,973.24, 2,403,905.10 and 978,009.08 is: 1,349,642.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741,973.24 : 2,403,905.10 = 978,009.08 : x
  2. Step 2: Convert to fraction form
    1,741,973.24/2,403,905.10 = 978,009.08/x
  3. Step 3: Cross multiply
    1,741,973.24x = 2,403,905.10 × 978,009.08
  4. Step 4: Simplify right side
    1,741,973.24x = 2,351,041,015,258.31
  5. Step 5: Solve for x
    x = 2,351,041,015,258.31/1,741,973.24
  6. Step 6: Final answer
    x = 1,349,642.44

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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.