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Finding the Fourth Proportional to 260,522.30, 390,844.88 and 207,415.06

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Solution

The fourth proportional to 260,522.30, 390,844.88 and 207,415.06 is: 311,171.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,522.30 : 390,844.88 = 207,415.06 : x
  2. Step 2: Convert to fraction form
    260,522.30/390,844.88 = 207,415.06/x
  3. Step 3: Cross multiply
    260,522.30x = 390,844.88 × 207,415.06
  4. Step 4: Simplify right side
    260,522.30x = 81,067,114,235.89
  5. Step 5: Solve for x
    x = 81,067,114,235.89/260,522.30
  6. Step 6: Final answer
    x = 311,171.50

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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.