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Finding the Fourth Proportional to 471,834.90, 662,435.10 and 471,834.90

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Solution

The fourth proportional to 471,834.90, 662,435.10 and 471,834.90 is: 662,435.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,834.90 : 662,435.10 = 471,834.90 : x
  2. Step 2: Convert to fraction form
    471,834.90/662,435.10 = 471,834.90/x
  3. Step 3: Cross multiply
    471,834.90x = 662,435.10 × 471,834.90
  4. Step 4: Simplify right side
    471,834.90x = 312,559,999,164.99
  5. Step 5: Solve for x
    x = 312,559,999,164.99/471,834.90
  6. Step 6: Final answer
    x = 662,435.10

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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.