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Finding the Fourth Proportional to 4,071,193.90, 5,692,206.50 and 4,071,193.90

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Solution

The fourth proportional to 4,071,193.90, 5,692,206.50 and 4,071,193.90 is: 5,692,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071,193.90 : 5,692,206.50 = 4,071,193.90 : x
  2. Step 2: Convert to fraction form
    4,071,193.90/5,692,206.50 = 4,071,193.90/x
  3. Step 3: Cross multiply
    4,071,193.90x = 5,692,206.50 × 4,071,193.90
  4. Step 4: Simplify right side
    4,071,193.90x = 23,174,076,380,340.35
  5. Step 5: Solve for x
    x = 23,174,076,380,340.35/4,071,193.90
  6. Step 6: Final answer
    x = 5,692,206.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.