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Finding the Fourth Proportional to 497,798.76, 746,700.84 and 123,821.76

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Solution

The fourth proportional to 497,798.76, 746,700.84 and 123,821.76 is: 185,733.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,798.76 : 746,700.84 = 123,821.76 : x
  2. Step 2: Convert to fraction form
    497,798.76/746,700.84 = 123,821.76/x
  3. Step 3: Cross multiply
    497,798.76x = 746,700.84 × 123,821.76
  4. Step 4: Simplify right side
    497,798.76x = 92,457,812,202.28
  5. Step 5: Solve for x
    x = 92,457,812,202.28/497,798.76
  6. Step 6: Final answer
    x = 185,733.31

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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.