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Finding the Fourth Proportional to 497,783.76, 746,678.34 and 123,806.76

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Solution

The fourth proportional to 497,783.76, 746,678.34 and 123,806.76 is: 185,710.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,783.76 : 746,678.34 = 123,806.76 : x
  2. Step 2: Convert to fraction form
    497,783.76/746,678.34 = 123,806.76/x
  3. Step 3: Cross multiply
    497,783.76x = 746,678.34 × 123,806.76
  4. Step 4: Simplify right side
    497,783.76x = 92,443,826,037.58
  5. Step 5: Solve for x
    x = 92,443,826,037.58/497,783.76
  6. Step 6: Final answer
    x = 185,710.81

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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.