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Finding the Fourth Proportional to 299,415.20, 448,466.70 and 260,049.20

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Solution

The fourth proportional to 299,415.20, 448,466.70 and 260,049.20 is: 389,503.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,415.20 : 448,466.70 = 260,049.20 : x
  2. Step 2: Convert to fraction form
    299,415.20/448,466.70 = 260,049.20/x
  3. Step 3: Cross multiply
    299,415.20x = 448,466.70 × 260,049.20
  4. Step 4: Simplify right side
    299,415.20x = 116,623,406,561.64
  5. Step 5: Solve for x
    x = 116,623,406,561.64/299,415.20
  6. Step 6: Final answer
    x = 389,503.96

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1.5x scale

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.