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Finding the Fourth Proportional to 760,378.26, 1,049,355.14 and 420,846.42

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Solution

The fourth proportional to 760,378.26, 1,049,355.14 and 420,846.42 is: 580,786.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,378.26 : 1,049,355.14 = 420,846.42 : x
  2. Step 2: Convert to fraction form
    760,378.26/1,049,355.14 = 420,846.42/x
  3. Step 3: Cross multiply
    760,378.26x = 1,049,355.14 × 420,846.42
  4. Step 4: Simplify right side
    760,378.26x = 441,617,351,873.37
  5. Step 5: Solve for x
    x = 441,617,351,873.37/760,378.26
  6. Step 6: Final answer
    x = 580,786.40

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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.