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Finding the Fourth Proportional to 433,885.23, 649,706.40 and 299,364.08

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Solution

The fourth proportional to 433,885.23, 649,706.40 and 299,364.08 is: 448,272.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,885.23 : 649,706.40 = 299,364.08 : x
  2. Step 2: Convert to fraction form
    433,885.23/649,706.40 = 299,364.08/x
  3. Step 3: Cross multiply
    433,885.23x = 649,706.40 × 299,364.08
  4. Step 4: Simplify right side
    433,885.23x = 194,498,755,457.58
  5. Step 5: Solve for x
    x = 194,498,755,457.58/433,885.23
  6. Step 6: Final answer
    x = 448,272.36

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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.