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Finding the Fourth Proportional to 469,068.91, 647,384.58 and 297,002.87

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Solution

The fourth proportional to 469,068.91, 647,384.58 and 297,002.87 is: 409,907.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,068.91 : 647,384.58 = 297,002.87 : x
  2. Step 2: Convert to fraction form
    469,068.91/647,384.58 = 297,002.87/x
  3. Step 3: Cross multiply
    469,068.91x = 647,384.58 × 297,002.87
  4. Step 4: Simplify right side
    469,068.91x = 192,275,078,253.75
  5. Step 5: Solve for x
    x = 192,275,078,253.75/469,068.91
  6. Step 6: Final answer
    x = 409,907.96

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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.