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Finding the Fourth Proportional to 492,055.86, 737,973.05 and 176,512.76

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Solution

The fourth proportional to 492,055.86, 737,973.05 and 176,512.76 is: 264,729.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,055.86 : 737,973.05 = 176,512.76 : x
  2. Step 2: Convert to fraction form
    492,055.86/737,973.05 = 176,512.76/x
  3. Step 3: Cross multiply
    492,055.86x = 737,973.05 × 176,512.76
  4. Step 4: Simplify right side
    492,055.86x = 130,261,660,823.49
  5. Step 5: Solve for x
    x = 130,261,660,823.49/492,055.86
  6. Step 6: Final answer
    x = 264,729.42

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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.