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Finding the Fourth Proportional to 646,284, 891,941.04 and 378,236.64

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Solution

The fourth proportional to 646,284, 891,941.04 and 378,236.64 is: 522,007.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,284 : 891,941.04 = 378,236.64 : x
  2. Step 2: Convert to fraction form
    646,284/891,941.04 = 378,236.64/x
  3. Step 3: Cross multiply
    646,284x = 891,941.04 × 378,236.64
  4. Step 4: Simplify right side
    646,284x = 337,364,782,047.71
  5. Step 5: Solve for x
    x = 337,364,782,047.71/646,284
  6. Step 6: Final answer
    x = 522,007.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.