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Finding the Fourth Proportional to 299,417.20, 448,469.70 and 260,051.20

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Solution

The fourth proportional to 299,417.20, 448,469.70 and 260,051.20 is: 389,506.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,417.20 : 448,469.70 = 260,051.20 : x
  2. Step 2: Convert to fraction form
    299,417.20/448,469.70 = 260,051.20/x
  3. Step 3: Cross multiply
    299,417.20x = 448,469.70 × 260,051.20
  4. Step 4: Simplify right side
    299,417.20x = 116,625,083,648.64
  5. Step 5: Solve for x
    x = 116,625,083,648.64/299,417.20
  6. Step 6: Final answer
    x = 389,506.96

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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.