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Finding the Fourth Proportional to 357,412.61, 493,232.83 and 196,271.03

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Solution

The fourth proportional to 357,412.61, 493,232.83 and 196,271.03 is: 270,855.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,412.61 : 493,232.83 = 196,271.03 : x
  2. Step 2: Convert to fraction form
    357,412.61/493,232.83 = 196,271.03/x
  3. Step 3: Cross multiply
    357,412.61x = 493,232.83 × 196,271.03
  4. Step 4: Simplify right side
    357,412.61x = 96,807,316,316.32
  5. Step 5: Solve for x
    x = 96,807,316,316.32/357,412.61
  6. Step 6: Final answer
    x = 270,855.90

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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.