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Finding the Fourth Proportional to 464,137.13, 640,509.24 and 262,933.13

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Solution

The fourth proportional to 464,137.13, 640,509.24 and 262,933.13 is: 362,847.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,137.13 : 640,509.24 = 262,933.13 : x
  2. Step 2: Convert to fraction form
    464,137.13/640,509.24 = 262,933.13/x
  3. Step 3: Cross multiply
    464,137.13x = 640,509.24 × 262,933.13
  4. Step 4: Simplify right side
    464,137.13x = 168,411,096,064.58
  5. Step 5: Solve for x
    x = 168,411,096,064.58/464,137.13
  6. Step 6: Final answer
    x = 362,847.72

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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.