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Finding the Fourth Proportional to 543,813.60, 815,720.40 and 417,696.60

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Solution

The fourth proportional to 543,813.60, 815,720.40 and 417,696.60 is: 626,544.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,813.60 : 815,720.40 = 417,696.60 : x
  2. Step 2: Convert to fraction form
    543,813.60/815,720.40 = 417,696.60/x
  3. Step 3: Cross multiply
    543,813.60x = 815,720.40 × 417,696.60
  4. Step 4: Simplify right side
    543,813.60x = 340,723,637,630.64
  5. Step 5: Solve for x
    x = 340,723,637,630.64/543,813.60
  6. Step 6: Final answer
    x = 626,544.90

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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.