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Finding the Fourth Proportional to 260,005, 390,007.50 and 63,013

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Solution

The fourth proportional to 260,005, 390,007.50 and 63,013 is: 94,519.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,005 : 390,007.50 = 63,013 : x
  2. Step 2: Convert to fraction form
    260,005/390,007.50 = 63,013/x
  3. Step 3: Cross multiply
    260,005x = 390,007.50 × 63,013
  4. Step 4: Simplify right side
    260,005x = 24,575,542,597.50
  5. Step 5: Solve for x
    x = 24,575,542,597.50/260,005
  6. Step 6: Final answer
    x = 94,519.50

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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.