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Finding the Fourth Proportional to 580,643.06, 870,880.10 and 181,190.90

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Solution

The fourth proportional to 580,643.06, 870,880.10 and 181,190.90 is: 271,759.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,643.06 : 870,880.10 = 181,190.90 : x
  2. Step 2: Convert to fraction form
    580,643.06/870,880.10 = 181,190.90/x
  3. Step 3: Cross multiply
    580,643.06x = 870,880.10 × 181,190.90
  4. Step 4: Simplify right side
    580,643.06x = 157,795,549,111.09
  5. Step 5: Solve for x
    x = 157,795,549,111.09/580,643.06
  6. Step 6: Final answer
    x = 271,759.98

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Why These Related Problems?

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