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Finding the Fourth Proportional to 312,984, 469,566.72 and 91,368

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Solution

The fourth proportional to 312,984, 469,566.72 and 91,368 is: 137,078.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,984 : 469,566.72 = 91,368 : x
  2. Step 2: Convert to fraction form
    312,984/469,566.72 = 91,368/x
  3. Step 3: Cross multiply
    312,984x = 469,566.72 × 91,368
  4. Step 4: Simplify right side
    312,984x = 42,903,372,072.96
  5. Step 5: Solve for x
    x = 42,903,372,072.96/312,984
  6. Step 6: Final answer
    x = 137,078.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.