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Finding the Fourth Proportional to 496,172.16, 684,425.22 and 312,117.36

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Solution

The fourth proportional to 496,172.16, 684,425.22 and 312,117.36 is: 430,538.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,172.16 : 684,425.22 = 312,117.36 : x
  2. Step 2: Convert to fraction form
    496,172.16/684,425.22 = 312,117.36/x
  3. Step 3: Cross multiply
    496,172.16x = 684,425.22 × 312,117.36
  4. Step 4: Simplify right side
    496,172.16x = 213,620,992,783.82
  5. Step 5: Solve for x
    x = 213,620,992,783.82/496,172.16
  6. Step 6: Final answer
    x = 430,538.05

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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.