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Finding the Fourth Proportional to 477,228.54, 715,826.40 and 122,245.63

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Solution

The fourth proportional to 477,228.54, 715,826.40 and 122,245.63 is: 183,364.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,228.54 : 715,826.40 = 122,245.63 : x
  2. Step 2: Convert to fraction form
    477,228.54/715,826.40 = 122,245.63/x
  3. Step 3: Cross multiply
    477,228.54x = 715,826.40 × 122,245.63
  4. Step 4: Simplify right side
    477,228.54x = 87,506,649,238.63
  5. Step 5: Solve for x
    x = 87,506,649,238.63/477,228.54
  6. Step 6: Final answer
    x = 183,364.24

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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.