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Finding the Fourth Proportional to 477,638.24, 715,866.88 and 241,048.64

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Solution

The fourth proportional to 477,638.24, 715,866.88 and 241,048.64 is: 361,274.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,638.24 : 715,866.88 = 241,048.64 : x
  2. Step 2: Convert to fraction form
    477,638.24/715,866.88 = 241,048.64/x
  3. Step 3: Cross multiply
    477,638.24x = 715,866.88 × 241,048.64
  4. Step 4: Simplify right side
    477,638.24x = 172,558,737,845.04
  5. Step 5: Solve for x
    x = 172,558,737,845.04/477,638.24
  6. Step 6: Final answer
    x = 361,274.96

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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.