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Finding the Fourth Proportional to 1,266,906.77, 1,899,962.33 and 413,784.05

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Solution

The fourth proportional to 1,266,906.77, 1,899,962.33 and 413,784.05 is: 620,546.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266,906.77 : 1,899,962.33 = 413,784.05 : x
  2. Step 2: Convert to fraction form
    1,266,906.77/1,899,962.33 = 413,784.05/x
  3. Step 3: Cross multiply
    1,266,906.77x = 1,899,962.33 × 413,784.05
  4. Step 4: Simplify right side
    1,266,906.77x = 786,174,096,186.11
  5. Step 5: Solve for x
    x = 786,174,096,186.11/1,266,906.77
  6. Step 6: Final answer
    x = 620,546.13

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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.