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Finding the Fourth Proportional to 393,097.80, 542,475.14 and 223,332.20

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Solution

The fourth proportional to 393,097.80, 542,475.14 and 223,332.20 is: 308,198.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,097.80 : 542,475.14 = 223,332.20 : x
  2. Step 2: Convert to fraction form
    393,097.80/542,475.14 = 223,332.20/x
  3. Step 3: Cross multiply
    393,097.80x = 542,475.14 × 223,332.20
  4. Step 4: Simplify right side
    393,097.80x = 121,152,166,461.51
  5. Step 5: Solve for x
    x = 121,152,166,461.51/393,097.80
  6. Step 6: Final answer
    x = 308,198.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.