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Finding the Fourth Proportional to 466,178.90, 643,093.98 and 294,309.86

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Solution

The fourth proportional to 466,178.90, 643,093.98 and 294,309.86 is: 406,000.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,178.90 : 643,093.98 = 294,309.86 : x
  2. Step 2: Convert to fraction form
    466,178.90/643,093.98 = 294,309.86/x
  3. Step 3: Cross multiply
    466,178.90x = 643,093.98 × 294,309.86
  4. Step 4: Simplify right side
    466,178.90x = 189,268,899,220.64
  5. Step 5: Solve for x
    x = 189,268,899,220.64/466,178.90
  6. Step 6: Final answer
    x = 406,000.57

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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.