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Finding the Fourth Proportional to 335,124.84, 502,682.86 and 82,407.51

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Solution

The fourth proportional to 335,124.84, 502,682.86 and 82,407.51 is: 123,610.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,124.84 : 502,682.86 = 82,407.51 : x
  2. Step 2: Convert to fraction form
    335,124.84/502,682.86 = 82,407.51/x
  3. Step 3: Cross multiply
    335,124.84x = 502,682.86 × 82,407.51
  4. Step 4: Simplify right side
    335,124.84x = 41,424,842,812.28
  5. Step 5: Solve for x
    x = 41,424,842,812.28/335,124.84
  6. Step 6: Final answer
    x = 123,610.18

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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.