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Finding the Fourth Proportional to 505,898.36, 698,179.54 and 288,116.25

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Solution

The fourth proportional to 505,898.36, 698,179.54 and 288,116.25 is: 397,623.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,898.36 : 698,179.54 = 288,116.25 : x
  2. Step 2: Convert to fraction form
    505,898.36/698,179.54 = 288,116.25/x
  3. Step 3: Cross multiply
    505,898.36x = 698,179.54 × 288,116.25
  4. Step 4: Simplify right side
    505,898.36x = 201,156,866,680.34
  5. Step 5: Solve for x
    x = 201,156,866,680.34/505,898.36
  6. Step 6: Final answer
    x = 397,623.08

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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.