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Finding the Fourth Proportional to 615,744.24, 923,616 and 448,329.84

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Solution

The fourth proportional to 615,744.24, 923,616 and 448,329.84 is: 672,494.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,744.24 : 923,616 = 448,329.84 : x
  2. Step 2: Convert to fraction form
    615,744.24/923,616 = 448,329.84/x
  3. Step 3: Cross multiply
    615,744.24x = 923,616 × 448,329.84
  4. Step 4: Simplify right side
    615,744.24x = 414,084,613,501.44
  5. Step 5: Solve for x
    x = 414,084,613,501.44/615,744.24
  6. Step 6: Final answer
    x = 672,494.50

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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.