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Finding the Fourth Proportional to 580,051.40, 869,385.90 and 243,091.40

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Solution

The fourth proportional to 580,051.40, 869,385.90 and 243,091.40 is: 364,347.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,051.40 : 869,385.90 = 243,091.40 : x
  2. Step 2: Convert to fraction form
    580,051.40/869,385.90 = 243,091.40/x
  3. Step 3: Cross multiply
    580,051.40x = 869,385.90 × 243,091.40
  4. Step 4: Simplify right side
    580,051.40x = 211,340,235,571.26
  5. Step 5: Solve for x
    x = 211,340,235,571.26/580,051.40
  6. Step 6: Final answer
    x = 364,347.43

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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.