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Finding the Fourth Proportional to 511,858.24, 706,359.69 and 282,417.64

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Solution

The fourth proportional to 511,858.24, 706,359.69 and 282,417.64 is: 389,733.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,858.24 : 706,359.69 = 282,417.64 : x
  2. Step 2: Convert to fraction form
    511,858.24/706,359.69 = 282,417.64/x
  3. Step 3: Cross multiply
    511,858.24x = 706,359.69 × 282,417.64
  4. Step 4: Simplify right side
    511,858.24x = 199,488,434,875.03
  5. Step 5: Solve for x
    x = 199,488,434,875.03/511,858.24
  6. Step 6: Final answer
    x = 389,733.76

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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.