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Finding the Fourth Proportional to 455,612.80, 684,002.40 and 242,550.40

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Solution

The fourth proportional to 455,612.80, 684,002.40 and 242,550.40 is: 364,136.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,612.80 : 684,002.40 = 242,550.40 : x
  2. Step 2: Convert to fraction form
    455,612.80/684,002.40 = 242,550.40/x
  3. Step 3: Cross multiply
    455,612.80x = 684,002.40 × 242,550.40
  4. Step 4: Simplify right side
    455,612.80x = 165,905,055,720.96
  5. Step 5: Solve for x
    x = 165,905,055,720.96/455,612.80
  6. Step 6: Final answer
    x = 364,136.07

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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.