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Finding the Fourth Proportional to 405,065.36, 607,069.56 and 293,122.64

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Solution

The fourth proportional to 405,065.36, 607,069.56 and 293,122.64 is: 439,301.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,065.36 : 607,069.56 = 293,122.64 : x
  2. Step 2: Convert to fraction form
    405,065.36/607,069.56 = 293,122.64/x
  3. Step 3: Cross multiply
    405,065.36x = 607,069.56 × 293,122.64
  4. Step 4: Simplify right side
    405,065.36x = 177,945,832,090.84
  5. Step 5: Solve for x
    x = 177,945,832,090.84/405,065.36
  6. Step 6: Final answer
    x = 439,301.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.