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Finding the Fourth Proportional to 601,673.40, 830,311.56 and 347,025.60

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Solution

The fourth proportional to 601,673.40, 830,311.56 and 347,025.60 is: 478,896.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,673.40 : 830,311.56 = 347,025.60 : x
  2. Step 2: Convert to fraction form
    601,673.40/830,311.56 = 347,025.60/x
  3. Step 3: Cross multiply
    601,673.40x = 830,311.56 × 347,025.60
  4. Step 4: Simplify right side
    601,673.40x = 288,139,367,295.94
  5. Step 5: Solve for x
    x = 288,139,367,295.94/601,673.40
  6. Step 6: Final answer
    x = 478,896.64

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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.