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Finding the Fourth Proportional to 601,419.60, 829,959.74 and 325,778.01

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Solution

The fourth proportional to 601,419.60, 829,959.74 and 325,778.01 is: 449,574.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,419.60 : 829,959.74 = 325,778.01 : x
  2. Step 2: Convert to fraction form
    601,419.60/829,959.74 = 325,778.01/x
  3. Step 3: Cross multiply
    601,419.60x = 829,959.74 × 325,778.01
  4. Step 4: Simplify right side
    601,419.60x = 270,382,630,848.43
  5. Step 5: Solve for x
    x = 270,382,630,848.43/601,419.60
  6. Step 6: Final answer
    x = 449,574.03

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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.