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Finding the Fourth Proportional to 363,457.94, 545,298.48 and 186,089.47

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Solution

The fourth proportional to 363,457.94, 545,298.48 and 186,089.47 is: 279,191.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,457.94 : 545,298.48 = 186,089.47 : x
  2. Step 2: Convert to fraction form
    363,457.94/545,298.48 = 186,089.47/x
  3. Step 3: Cross multiply
    363,457.94x = 545,298.48 × 186,089.47
  4. Step 4: Simplify right side
    363,457.94x = 101,474,303,771.76
  5. Step 5: Solve for x
    x = 101,474,303,771.76/363,457.94
  6. Step 6: Final answer
    x = 279,191.33

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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.