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Finding the Fourth Proportional to 333,364.32, 499,463.36 and 277,563.20

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Solution

The fourth proportional to 333,364.32, 499,463.36 and 277,563.20 is: 415,859.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,364.32 : 499,463.36 = 277,563.20 : x
  2. Step 2: Convert to fraction form
    333,364.32/499,463.36 = 277,563.20/x
  3. Step 3: Cross multiply
    333,364.32x = 499,463.36 × 277,563.20
  4. Step 4: Simplify right side
    333,364.32x = 138,632,648,484.35
  5. Step 5: Solve for x
    x = 138,632,648,484.35/333,364.32
  6. Step 6: Final answer
    x = 415,859.29

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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.