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Finding the Fourth Proportional to 284,271.13, 425,726.90 and 163,963.37

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Solution

The fourth proportional to 284,271.13, 425,726.90 and 163,963.37 is: 245,552.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,271.13 : 425,726.90 = 163,963.37 : x
  2. Step 2: Convert to fraction form
    284,271.13/425,726.90 = 163,963.37/x
  3. Step 3: Cross multiply
    284,271.13x = 425,726.90 × 163,963.37
  4. Step 4: Simplify right side
    284,271.13x = 69,803,617,468.15
  5. Step 5: Solve for x
    x = 69,803,617,468.15/284,271.13
  6. Step 6: Final answer
    x = 245,552.96

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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.