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Finding the Fourth Proportional to 469,152.39, 647,499.47 and 297,086.07

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Solution

The fourth proportional to 469,152.39, 647,499.47 and 297,086.07 is: 410,022.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,152.39 : 647,499.47 = 297,086.07 : x
  2. Step 2: Convert to fraction form
    469,152.39/647,499.47 = 297,086.07/x
  3. Step 3: Cross multiply
    469,152.39x = 647,499.47 × 297,086.07
  4. Step 4: Simplify right side
    469,152.39x = 192,363,070,374.60
  5. Step 5: Solve for x
    x = 192,363,070,374.60/469,152.39
  6. Step 6: Final answer
    x = 410,022.57

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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.