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Finding the Fourth Proportional to 399,914.60, 600,023.44 and 240,102.16

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Solution

The fourth proportional to 399,914.60, 600,023.44 and 240,102.16 is: 360,244.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,914.60 : 600,023.44 = 240,102.16 : x
  2. Step 2: Convert to fraction form
    399,914.60/600,023.44 = 240,102.16/x
  3. Step 3: Cross multiply
    399,914.60x = 600,023.44 × 240,102.16
  4. Step 4: Simplify right side
    399,914.60x = 144,066,923,994.63
  5. Step 5: Solve for x
    x = 144,066,923,994.63/399,914.60
  6. Step 6: Final answer
    x = 360,244.22

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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.