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Finding the Fourth Proportional to 297,468, 410,527.80 and 184,312.80

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Solution

The fourth proportional to 297,468, 410,527.80 and 184,312.80 is: 254,365.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,468 : 410,527.80 = 184,312.80 : x
  2. Step 2: Convert to fraction form
    297,468/410,527.80 = 184,312.80/x
  3. Step 3: Cross multiply
    297,468x = 410,527.80 × 184,312.80
  4. Step 4: Simplify right side
    297,468x = 75,665,528,295.84
  5. Step 5: Solve for x
    x = 75,665,528,295.84/297,468
  6. Step 6: Final answer
    x = 254,365.27

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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.