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Finding the Fourth Proportional to 397,106.80, 595,602.60 and 116,594.80

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Solution

The fourth proportional to 397,106.80, 595,602.60 and 116,594.80 is: 174,875.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,106.80 : 595,602.60 = 116,594.80 : x
  2. Step 2: Convert to fraction form
    397,106.80/595,602.60 = 116,594.80/x
  3. Step 3: Cross multiply
    397,106.80x = 595,602.60 × 116,594.80
  4. Step 4: Simplify right side
    397,106.80x = 69,444,166,026.48
  5. Step 5: Solve for x
    x = 69,444,166,026.48/397,106.80
  6. Step 6: Final answer
    x = 174,875.29

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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.