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Finding the Fourth Proportional to 310,263.84, 465,242.49 and 182,212.25

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Solution

The fourth proportional to 310,263.84, 465,242.49 and 182,212.25 is: 273,228.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,263.84 : 465,242.49 = 182,212.25 : x
  2. Step 2: Convert to fraction form
    310,263.84/465,242.49 = 182,212.25/x
  3. Step 3: Cross multiply
    310,263.84x = 465,242.49 × 182,212.25
  4. Step 4: Simplify right side
    310,263.84x = 84,772,878,572.29
  5. Step 5: Solve for x
    x = 84,772,878,572.29/310,263.84
  6. Step 6: Final answer
    x = 273,228.35

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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.