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Finding the Fourth Proportional to 515,964.29, 712,017.11 and 286,514.51

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Solution

The fourth proportional to 515,964.29, 712,017.11 and 286,514.51 is: 395,382.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,964.29 : 712,017.11 = 286,514.51 : x
  2. Step 2: Convert to fraction form
    515,964.29/712,017.11 = 286,514.51/x
  3. Step 3: Cross multiply
    515,964.29x = 712,017.11 × 286,514.51
  4. Step 4: Simplify right side
    515,964.29x = 204,003,230,539.47
  5. Step 5: Solve for x
    x = 204,003,230,539.47/515,964.29
  6. Step 6: Final answer
    x = 395,382.46

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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.