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Finding the Fourth Proportional to 497,210.45, 745,797.02 and 296,197.83

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Solution

The fourth proportional to 497,210.45, 745,797.02 and 296,197.83 is: 444,285.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,210.45 : 745,797.02 = 296,197.83 : x
  2. Step 2: Convert to fraction form
    497,210.45/745,797.02 = 296,197.83/x
  3. Step 3: Cross multiply
    497,210.45x = 745,797.02 × 296,197.83
  4. Step 4: Simplify right side
    497,210.45x = 220,903,457,463.48
  5. Step 5: Solve for x
    x = 220,903,457,463.48/497,210.45
  6. Step 6: Final answer
    x = 444,285.63

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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.