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Finding the Fourth Proportional to 406,986.63, 561,641.54 and 228,138.63

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Solution

The fourth proportional to 406,986.63, 561,641.54 and 228,138.63 is: 314,831.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,986.63 : 561,641.54 = 228,138.63 : x
  2. Step 2: Convert to fraction form
    406,986.63/561,641.54 = 228,138.63/x
  3. Step 3: Cross multiply
    406,986.63x = 561,641.54 × 228,138.63
  4. Step 4: Simplify right side
    406,986.63x = 128,132,131,486.69
  5. Step 5: Solve for x
    x = 128,132,131,486.69/406,986.63
  6. Step 6: Final answer
    x = 314,831.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.