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Finding the Fourth Proportional to 477,412.26, 716,080.32 and 277,605.24

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Solution

The fourth proportional to 477,412.26, 716,080.32 and 277,605.24 is: 416,385.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,412.26 : 716,080.32 = 277,605.24 : x
  2. Step 2: Convert to fraction form
    477,412.26/716,080.32 = 277,605.24/x
  3. Step 3: Cross multiply
    477,412.26x = 716,080.32 × 277,605.24
  4. Step 4: Simplify right side
    477,412.26x = 198,787,649,092.88
  5. Step 5: Solve for x
    x = 198,787,649,092.88/477,412.26
  6. Step 6: Final answer
    x = 416,385.72

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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.