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Finding the Fourth Proportional to 313,830.64, 433,084.60 and 177,890.32

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Solution

The fourth proportional to 313,830.64, 433,084.60 and 177,890.32 is: 245,487.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,830.64 : 433,084.60 = 177,890.32 : x
  2. Step 2: Convert to fraction form
    313,830.64/433,084.60 = 177,890.32/x
  3. Step 3: Cross multiply
    313,830.64x = 433,084.60 × 177,890.32
  4. Step 4: Simplify right side
    313,830.64x = 77,041,558,081.07
  5. Step 5: Solve for x
    x = 77,041,558,081.07/313,830.64
  6. Step 6: Final answer
    x = 245,487.69

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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.