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Finding the Fourth Proportional to 260,174.40, 390,553.20 and 201,271.20

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Solution

The fourth proportional to 260,174.40, 390,553.20 and 201,271.20 is: 302,132.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,174.40 : 390,553.20 = 201,271.20 : x
  2. Step 2: Convert to fraction form
    260,174.40/390,553.20 = 201,271.20/x
  3. Step 3: Cross multiply
    260,174.40x = 390,553.20 × 201,271.20
  4. Step 4: Simplify right side
    260,174.40x = 78,607,111,227.84
  5. Step 5: Solve for x
    x = 78,607,111,227.84/260,174.40
  6. Step 6: Final answer
    x = 302,132.38

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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.