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Finding the Fourth Proportional to 295,804.66, 408,242.86 and 171,652.98

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Solution

The fourth proportional to 295,804.66, 408,242.86 and 171,652.98 is: 236,899.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,804.66 : 408,242.86 = 171,652.98 : x
  2. Step 2: Convert to fraction form
    295,804.66/408,242.86 = 171,652.98/x
  3. Step 3: Cross multiply
    295,804.66x = 408,242.86 × 171,652.98
  4. Step 4: Simplify right side
    295,804.66x = 70,076,104,892.79
  5. Step 5: Solve for x
    x = 70,076,104,892.79/295,804.66
  6. Step 6: Final answer
    x = 236,899.94

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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.