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Finding the Fourth Proportional to 310,576.86, 465,848.82 and 100,214.82

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Solution

The fourth proportional to 310,576.86, 465,848.82 and 100,214.82 is: 150,316.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,576.86 : 465,848.82 = 100,214.82 : x
  2. Step 2: Convert to fraction form
    310,576.86/465,848.82 = 100,214.82/x
  3. Step 3: Cross multiply
    310,576.86x = 465,848.82 × 100,214.82
  4. Step 4: Simplify right side
    310,576.86x = 46,684,955,643.51
  5. Step 5: Solve for x
    x = 46,684,955,643.51/310,576.86
  6. Step 6: Final answer
    x = 150,316.92

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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.