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Finding the Fourth Proportional to 384,653.16, 576,463.97 and 299,366.99

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Solution

The fourth proportional to 384,653.16, 576,463.97 and 299,366.99 is: 448,649.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,653.16 : 576,463.97 = 299,366.99 : x
  2. Step 2: Convert to fraction form
    384,653.16/576,463.97 = 299,366.99/x
  3. Step 3: Cross multiply
    384,653.16x = 576,463.97 × 299,366.99
  4. Step 4: Simplify right side
    384,653.16x = 172,574,283,542.35
  5. Step 5: Solve for x
    x = 172,574,283,542.35/384,653.16
  6. Step 6: Final answer
    x = 448,649.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.