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Finding the Fourth Proportional to 1,293,194.75, 1,784,748.30 and 712,477.22

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Solution

The fourth proportional to 1,293,194.75, 1,784,748.30 and 712,477.22 is: 983,295.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293,194.75 : 1,784,748.30 = 712,477.22 : x
  2. Step 2: Convert to fraction form
    1,293,194.75/1,784,748.30 = 712,477.22/x
  3. Step 3: Cross multiply
    1,293,194.75x = 1,784,748.30 × 712,477.22
  4. Step 4: Simplify right side
    1,293,194.75x = 1,271,592,505,627.40
  5. Step 5: Solve for x
    x = 1,271,592,505,627.40/1,293,194.75
  6. Step 6: Final answer
    x = 983,295.44

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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.