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Finding the Fourth Proportional to 398,418.45, 596,643.52 and 296,973.24

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Solution

The fourth proportional to 398,418.45, 596,643.52 and 296,973.24 is: 444,726.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,418.45 : 596,643.52 = 296,973.24 : x
  2. Step 2: Convert to fraction form
    398,418.45/596,643.52 = 296,973.24/x
  3. Step 3: Cross multiply
    398,418.45x = 596,643.52 × 296,973.24
  4. Step 4: Simplify right side
    398,418.45x = 177,187,159,259.41
  5. Step 5: Solve for x
    x = 177,187,159,259.41/398,418.45
  6. Step 6: Final answer
    x = 444,726.29

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Why These Related Problems?

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