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Finding the Fourth Proportional to 599,971.84, 899,957.82 and 414,164.32

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Solution

The fourth proportional to 599,971.84, 899,957.82 and 414,164.32 is: 621,246.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,971.84 : 899,957.82 = 414,164.32 : x
  2. Step 2: Convert to fraction form
    599,971.84/899,957.82 = 414,164.32/x
  3. Step 3: Cross multiply
    599,971.84x = 899,957.82 × 414,164.32
  4. Step 4: Simplify right side
    599,971.84x = 372,730,418,548.98
  5. Step 5: Solve for x
    x = 372,730,418,548.98/599,971.84
  6. Step 6: Final answer
    x = 621,246.52

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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.