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Finding the Fourth Proportional to 301,946.63, 416,686.34 and 174,630.42

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Solution

The fourth proportional to 301,946.63, 416,686.34 and 174,630.42 is: 240,989.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,946.63 : 416,686.34 = 174,630.42 : x
  2. Step 2: Convert to fraction form
    301,946.63/416,686.34 = 174,630.42/x
  3. Step 3: Cross multiply
    301,946.63x = 416,686.34 × 174,630.42
  4. Step 4: Simplify right side
    301,946.63x = 72,766,110,999.04
  5. Step 5: Solve for x
    x = 72,766,110,999.04/301,946.63
  6. Step 6: Final answer
    x = 240,989.98

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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.