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Finding the Fourth Proportional to 423,813.40, 635,201.70 and 186,904.60

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Solution

The fourth proportional to 423,813.40, 635,201.70 and 186,904.60 is: 280,128.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,813.40 : 635,201.70 = 186,904.60 : x
  2. Step 2: Convert to fraction form
    423,813.40/635,201.70 = 186,904.60/x
  3. Step 3: Cross multiply
    423,813.40x = 635,201.70 × 186,904.60
  4. Step 4: Simplify right side
    423,813.40x = 118,722,119,657.82
  5. Step 5: Solve for x
    x = 118,722,119,657.82/423,813.40
  6. Step 6: Final answer
    x = 280,128.28

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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.