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Finding the Fourth Proportional to 433,021.83, 644,966.66 and 413,593.07

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Solution

The fourth proportional to 433,021.83, 644,966.66 and 413,593.07 is: 616,028.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,021.83 : 644,966.66 = 413,593.07 : x
  2. Step 2: Convert to fraction form
    433,021.83/644,966.66 = 413,593.07/x
  3. Step 3: Cross multiply
    433,021.83x = 644,966.66 × 413,593.07
  4. Step 4: Simplify right side
    433,021.83x = 266,753,735,664.25
  5. Step 5: Solve for x
    x = 266,753,735,664.25/433,021.83
  6. Step 6: Final answer
    x = 616,028.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.