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Finding the Fourth Proportional to 296,201.40, 408,768.78 and 168,875.64

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Solution

The fourth proportional to 296,201.40, 408,768.78 and 168,875.64 is: 233,054.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,201.40 : 408,768.78 = 168,875.64 : x
  2. Step 2: Convert to fraction form
    296,201.40/408,768.78 = 168,875.64/x
  3. Step 3: Cross multiply
    296,201.40x = 408,768.78 × 168,875.64
  4. Step 4: Simplify right side
    296,201.40x = 69,031,089,334.52
  5. Step 5: Solve for x
    x = 69,031,089,334.52/296,201.40
  6. Step 6: Final answer
    x = 233,054.57

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1.5x scale

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.