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Finding the Fourth Proportional to 505,905.12, 698,142.24 and 279,554.40

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Solution

The fourth proportional to 505,905.12, 698,142.24 and 279,554.40 is: 385,781.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,905.12 : 698,142.24 = 279,554.40 : x
  2. Step 2: Convert to fraction form
    505,905.12/698,142.24 = 279,554.40/x
  3. Step 3: Cross multiply
    505,905.12x = 698,142.24 × 279,554.40
  4. Step 4: Simplify right side
    505,905.12x = 195,168,735,017.86
  5. Step 5: Solve for x
    x = 195,168,735,017.86/505,905.12
  6. Step 6: Final answer
    x = 385,781.30

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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.