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Finding the Fourth Proportional to 511,339.86, 705,698.94 and 382,054.02

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Solution

The fourth proportional to 511,339.86, 705,698.94 and 382,054.02 is: 527,271.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,339.86 : 705,698.94 = 382,054.02 : x
  2. Step 2: Convert to fraction form
    511,339.86/705,698.94 = 382,054.02/x
  3. Step 3: Cross multiply
    511,339.86x = 705,698.94 × 382,054.02
  4. Step 4: Simplify right side
    511,339.86x = 269,615,116,936.74
  5. Step 5: Solve for x
    x = 269,615,116,936.74/511,339.86
  6. Step 6: Final answer
    x = 527,271.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.