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Finding the Fourth Proportional to 469,069.04, 647,384.75 and 297,003

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Solution

The fourth proportional to 469,069.04, 647,384.75 and 297,003 is: 409,908.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,069.04 : 647,384.75 = 297,003 : x
  2. Step 2: Convert to fraction form
    469,069.04/647,384.75 = 297,003/x
  3. Step 3: Cross multiply
    469,069.04x = 647,384.75 × 297,003
  4. Step 4: Simplify right side
    469,069.04x = 192,275,211,419.24
  5. Step 5: Solve for x
    x = 192,275,211,419.24/469,069.04
  6. Step 6: Final answer
    x = 409,908.13

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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.