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Finding the Fourth Proportional to 309,984, 464,980.32 and 88,368

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Solution

The fourth proportional to 309,984, 464,980.32 and 88,368 is: 132,553.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,984 : 464,980.32 = 88,368 : x
  2. Step 2: Convert to fraction form
    309,984/464,980.32 = 88,368/x
  3. Step 3: Cross multiply
    309,984x = 464,980.32 × 88,368
  4. Step 4: Simplify right side
    309,984x = 41,089,380,917.76
  5. Step 5: Solve for x
    x = 41,089,380,917.76/309,984
  6. Step 6: Final answer
    x = 132,553.23

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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.