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Finding the Fourth Proportional to 393,905.20, 591,003.60 and 157,417.60

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Solution

The fourth proportional to 393,905.20, 591,003.60 and 157,417.60 is: 236,184.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,905.20 : 591,003.60 = 157,417.60 : x
  2. Step 2: Convert to fraction form
    393,905.20/591,003.60 = 157,417.60/x
  3. Step 3: Cross multiply
    393,905.20x = 591,003.60 × 157,417.60
  4. Step 4: Simplify right side
    393,905.20x = 93,034,368,303.36
  5. Step 5: Solve for x
    x = 93,034,368,303.36/393,905.20
  6. Step 6: Final answer
    x = 236,184.67

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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.