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Finding the Fourth Proportional to 464,878.94, 697,317.26 and 262,383.23

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Solution

The fourth proportional to 464,878.94, 697,317.26 and 262,383.23 is: 393,574.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,878.94 : 697,317.26 = 262,383.23 : x
  2. Step 2: Convert to fraction form
    464,878.94/697,317.26 = 262,383.23/x
  3. Step 3: Cross multiply
    464,878.94x = 697,317.26 × 262,383.23
  4. Step 4: Simplify right side
    464,878.94x = 182,964,355,444.93
  5. Step 5: Solve for x
    x = 182,964,355,444.93/464,878.94
  6. Step 6: Final answer
    x = 393,574.20

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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.