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Finding the Fourth Proportional to 309,459.33, 464,223.69 and 277,673.97

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Solution

The fourth proportional to 309,459.33, 464,223.69 and 277,673.97 is: 416,542.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,459.33 : 464,223.69 = 277,673.97 : x
  2. Step 2: Convert to fraction form
    309,459.33/464,223.69 = 277,673.97/x
  3. Step 3: Cross multiply
    309,459.33x = 464,223.69 × 277,673.97
  4. Step 4: Simplify right side
    309,459.33x = 128,902,834,970.35
  5. Step 5: Solve for x
    x = 128,902,834,970.35/309,459.33
  6. Step 6: Final answer
    x = 416,542.09

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1.5x scale

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.