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Finding the Fourth Proportional to 464,808.69, 697,203.72 and 305,888.45

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Solution

The fourth proportional to 464,808.69, 697,203.72 and 305,888.45 is: 458,826.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,808.69 : 697,203.72 = 305,888.45 : x
  2. Step 2: Convert to fraction form
    464,808.69/697,203.72 = 305,888.45/x
  3. Step 3: Cross multiply
    464,808.69x = 697,203.72 × 305,888.45
  4. Step 4: Simplify right side
    464,808.69x = 213,266,561,759.02
  5. Step 5: Solve for x
    x = 213,266,561,759.02/464,808.69
  6. Step 6: Final answer
    x = 458,826.54

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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.