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Finding the Fourth Proportional to 1,509,858, 2,083,618.62 and 830,809.08

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Solution

The fourth proportional to 1,509,858, 2,083,618.62 and 830,809.08 is: 1,146,524.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509,858 : 2,083,618.62 = 830,809.08 : x
  2. Step 2: Convert to fraction form
    1,509,858/2,083,618.62 = 830,809.08/x
  3. Step 3: Cross multiply
    1,509,858x = 2,083,618.62 × 830,809.08
  4. Step 4: Simplify right side
    1,509,858x = 1,731,089,268,753.07
  5. Step 5: Solve for x
    x = 1,731,089,268,753.07/1,509,858
  6. Step 6: Final answer
    x = 1,146,524.55

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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.