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Finding the Fourth Proportional to 393,716.20, 590,574.30 and 157,095.40

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Solution

The fourth proportional to 393,716.20, 590,574.30 and 157,095.40 is: 235,643.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,716.20 : 590,574.30 = 157,095.40 : x
  2. Step 2: Convert to fraction form
    393,716.20/590,574.30 = 157,095.40/x
  3. Step 3: Cross multiply
    393,716.20x = 590,574.30 × 157,095.40
  4. Step 4: Simplify right side
    393,716.20x = 92,776,505,888.22
  5. Step 5: Solve for x
    x = 92,776,505,888.22/393,716.20
  6. Step 6: Final answer
    x = 235,643.10

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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.