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Finding the Fourth Proportional to 438,185.40, 657,026.64 and 171,633.84

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Solution

The fourth proportional to 438,185.40, 657,026.64 and 171,633.84 is: 257,352.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,185.40 : 657,026.64 = 171,633.84 : x
  2. Step 2: Convert to fraction form
    438,185.40/657,026.64 = 171,633.84/x
  3. Step 3: Cross multiply
    438,185.40x = 657,026.64 × 171,633.84
  4. Step 4: Simplify right side
    438,185.40x = 112,768,005,205.50
  5. Step 5: Solve for x
    x = 112,768,005,205.50/438,185.40
  6. Step 6: Final answer
    x = 257,352.27

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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.