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Finding the Fourth Proportional to 590,436.80, 885,741.60 and 309,975.20

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Solution

The fourth proportional to 590,436.80, 885,741.60 and 309,975.20 is: 465,008.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,436.80 : 885,741.60 = 309,975.20 : x
  2. Step 2: Convert to fraction form
    590,436.80/885,741.60 = 309,975.20/x
  3. Step 3: Cross multiply
    590,436.80x = 885,741.60 × 309,975.20
  4. Step 4: Simplify right side
    590,436.80x = 274,557,929,608.32
  5. Step 5: Solve for x
    x = 274,557,929,608.32/590,436.80
  6. Step 6: Final answer
    x = 465,008.16

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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.