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Finding the Fourth Proportional to 505,909.49, 698,194.79 and 288,127.33

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Solution

The fourth proportional to 505,909.49, 698,194.79 and 288,127.33 is: 397,638.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,909.49 : 698,194.79 = 288,127.33 : x
  2. Step 2: Convert to fraction form
    505,909.49/698,194.79 = 288,127.33/x
  3. Step 3: Cross multiply
    505,909.49x = 698,194.79 × 288,127.33
  4. Step 4: Simplify right side
    505,909.49x = 201,169,000,662.61
  5. Step 5: Solve for x
    x = 201,169,000,662.61/505,909.49
  6. Step 6: Final answer
    x = 397,638.32

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1.5x scale

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.