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Finding the Fourth Proportional to 596,665.94, 894,287.51 and 415,771.97

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Solution

The fourth proportional to 596,665.94, 894,287.51 and 415,771.97 is: 623,162.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,665.94 : 894,287.51 = 415,771.97 : x
  2. Step 2: Convert to fraction form
    596,665.94/894,287.51 = 415,771.97/x
  3. Step 3: Cross multiply
    596,665.94x = 894,287.51 × 415,771.97
  4. Step 4: Simplify right side
    596,665.94x = 371,819,673,228.80
  5. Step 5: Solve for x
    x = 371,819,673,228.80/596,665.94
  6. Step 6: Final answer
    x = 623,162.23

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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.