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Finding the Fourth Proportional to 395,692.22, 546,055.76 and 214,404.10

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Solution

The fourth proportional to 395,692.22, 546,055.76 and 214,404.10 is: 295,877.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,692.22 : 546,055.76 = 214,404.10 : x
  2. Step 2: Convert to fraction form
    395,692.22/546,055.76 = 214,404.10/x
  3. Step 3: Cross multiply
    395,692.22x = 546,055.76 × 214,404.10
  4. Step 4: Simplify right side
    395,692.22x = 117,076,592,943.49
  5. Step 5: Solve for x
    x = 117,076,592,943.49/395,692.22
  6. Step 6: Final answer
    x = 295,877.92

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Why These Related Problems?

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