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Finding the Fourth Proportional to 362,988.24, 500,850 and 212,056.08

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Solution

The fourth proportional to 362,988.24, 500,850 and 212,056.08 is: 292,594.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,988.24 : 500,850 = 212,056.08 : x
  2. Step 2: Convert to fraction form
    362,988.24/500,850 = 212,056.08/x
  3. Step 3: Cross multiply
    362,988.24x = 500,850 × 212,056.08
  4. Step 4: Simplify right side
    362,988.24x = 106,208,287,668
  5. Step 5: Solve for x
    x = 106,208,287,668/362,988.24
  6. Step 6: Final answer
    x = 292,594.29

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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.