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Finding the Fourth Proportional to 310,897.42, 465,380.77 and 168,388.74

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Solution

The fourth proportional to 310,897.42, 465,380.77 and 168,388.74 is: 252,060.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,897.42 : 465,380.77 = 168,388.74 : x
  2. Step 2: Convert to fraction form
    310,897.42/465,380.77 = 168,388.74/x
  3. Step 3: Cross multiply
    310,897.42x = 465,380.77 × 168,388.74
  4. Step 4: Simplify right side
    310,897.42x = 78,364,881,480.53
  5. Step 5: Solve for x
    x = 78,364,881,480.53/310,897.42
  6. Step 6: Final answer
    x = 252,060.25

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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.