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Finding the Fourth Proportional to 260,810.64, 359,893.80 and 207,225.36

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Solution

The fourth proportional to 260,810.64, 359,893.80 and 207,225.36 is: 285,951.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,810.64 : 359,893.80 = 207,225.36 : x
  2. Step 2: Convert to fraction form
    260,810.64/359,893.80 = 207,225.36/x
  3. Step 3: Cross multiply
    260,810.64x = 359,893.80 × 207,225.36
  4. Step 4: Simplify right side
    260,810.64x = 74,579,122,266.77
  5. Step 5: Solve for x
    x = 74,579,122,266.77/260,810.64
  6. Step 6: Final answer
    x = 285,951.23

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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.