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Finding the Fourth Proportional to 477,223.36, 715,797.80 and 277,416.30

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Solution

The fourth proportional to 477,223.36, 715,797.80 and 277,416.30 is: 416,102.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,223.36 : 715,797.80 = 277,416.30 : x
  2. Step 2: Convert to fraction form
    477,223.36/715,797.80 = 277,416.30/x
  3. Step 3: Cross multiply
    477,223.36x = 715,797.80 × 277,416.30
  4. Step 4: Simplify right side
    477,223.36x = 198,573,977,224.14
  5. Step 5: Solve for x
    x = 198,573,977,224.14/477,223.36
  6. Step 6: Final answer
    x = 416,102.80

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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.