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Finding the Fourth Proportional to 599,973.84, 899,960.82 and 414,166.32

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Solution

The fourth proportional to 599,973.84, 899,960.82 and 414,166.32 is: 621,249.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,973.84 : 899,960.82 = 414,166.32 : x
  2. Step 2: Convert to fraction form
    599,973.84/899,960.82 = 414,166.32/x
  3. Step 3: Cross multiply
    599,973.84x = 899,960.82 × 414,166.32
  4. Step 4: Simplify right side
    599,973.84x = 372,733,460,963.58
  5. Step 5: Solve for x
    x = 372,733,460,963.58/599,973.84
  6. Step 6: Final answer
    x = 621,249.52

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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.