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Finding the Fourth Proportional to 417,386.54, 626,007.22 and 192,727.98

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Solution

The fourth proportional to 417,386.54, 626,007.22 and 192,727.98 is: 289,058.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,386.54 : 626,007.22 = 192,727.98 : x
  2. Step 2: Convert to fraction form
    417,386.54/626,007.22 = 192,727.98/x
  3. Step 3: Cross multiply
    417,386.54x = 626,007.22 × 192,727.98
  4. Step 4: Simplify right side
    417,386.54x = 120,649,106,494.20
  5. Step 5: Solve for x
    x = 120,649,106,494.20/417,386.54
  6. Step 6: Final answer
    x = 289,058.45

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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.