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Finding the Fourth Proportional to 438,531.60, 657,843.96 and 139,054.80

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Solution

The fourth proportional to 438,531.60, 657,843.96 and 139,054.80 is: 208,596.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,531.60 : 657,843.96 = 139,054.80 : x
  2. Step 2: Convert to fraction form
    438,531.60/657,843.96 = 139,054.80/x
  3. Step 3: Cross multiply
    438,531.60x = 657,843.96 × 139,054.80
  4. Step 4: Simplify right side
    438,531.60x = 91,476,360,289.01
  5. Step 5: Solve for x
    x = 91,476,360,289.01/438,531.60
  6. Step 6: Final answer
    x = 208,596.96

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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.