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Finding the Fourth Proportional to 415,449.94, 573,225.81 and 262,303.89

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Solution

The fourth proportional to 415,449.94, 573,225.81 and 262,303.89 is: 361,919.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,449.94 : 573,225.81 = 262,303.89 : x
  2. Step 2: Convert to fraction form
    415,449.94/573,225.81 = 262,303.89/x
  3. Step 3: Cross multiply
    415,449.94x = 573,225.81 × 262,303.89
  4. Step 4: Simplify right side
    415,449.94x = 150,359,359,811.40
  5. Step 5: Solve for x
    x = 150,359,359,811.40/415,449.94
  6. Step 6: Final answer
    x = 361,919.32

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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.