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Finding the Fourth Proportional to 511,497.47, 705,851.06 and 282,054.65

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Solution

The fourth proportional to 511,497.47, 705,851.06 and 282,054.65 is: 389,226.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,497.47 : 705,851.06 = 282,054.65 : x
  2. Step 2: Convert to fraction form
    511,497.47/705,851.06 = 282,054.65/x
  3. Step 3: Cross multiply
    511,497.47x = 705,851.06 × 282,054.65
  4. Step 4: Simplify right side
    511,497.47x = 199,088,568,740.90
  5. Step 5: Solve for x
    x = 199,088,568,740.90/511,497.47
  6. Step 6: Final answer
    x = 389,226.89

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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.