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Finding the Fourth Proportional to 301,643.10, 451,808.55 and 242,594.10

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Solution

The fourth proportional to 301,643.10, 451,808.55 and 242,594.10 is: 363,363.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,643.10 : 451,808.55 = 242,594.10 : x
  2. Step 2: Convert to fraction form
    301,643.10/451,808.55 = 242,594.10/x
  3. Step 3: Cross multiply
    301,643.10x = 451,808.55 × 242,594.10
  4. Step 4: Simplify right side
    301,643.10x = 109,606,088,559.56
  5. Step 5: Solve for x
    x = 109,606,088,559.56/301,643.10
  6. Step 6: Final answer
    x = 363,363.49

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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.