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Finding the Fourth Proportional to 482,451.24, 665,564.40 and 301,208.07

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Solution

The fourth proportional to 482,451.24, 665,564.40 and 301,208.07 is: 415,530.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,451.24 : 665,564.40 = 301,208.07 : x
  2. Step 2: Convert to fraction form
    482,451.24/665,564.40 = 301,208.07/x
  3. Step 3: Cross multiply
    482,451.24x = 665,564.40 × 301,208.07
  4. Step 4: Simplify right side
    482,451.24x = 200,473,368,384.71
  5. Step 5: Solve for x
    x = 200,473,368,384.71/482,451.24
  6. Step 6: Final answer
    x = 415,530.84

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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.