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Finding the Fourth Proportional to 268,460.40, 402,997.80 and 157,714.80

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Solution

The fourth proportional to 268,460.40, 402,997.80 and 157,714.80 is: 236,752.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,460.40 : 402,997.80 = 157,714.80 : x
  2. Step 2: Convert to fraction form
    268,460.40/402,997.80 = 157,714.80/x
  3. Step 3: Cross multiply
    268,460.40x = 402,997.80 × 157,714.80
  4. Step 4: Simplify right side
    268,460.40x = 63,558,717,427.44
  5. Step 5: Solve for x
    x = 63,558,717,427.44/268,460.40
  6. Step 6: Final answer
    x = 236,752.67

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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.