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Finding the Fourth Proportional to 646,502.70, 968,441.85 and 365,691.90

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Solution

The fourth proportional to 646,502.70, 968,441.85 and 365,691.90 is: 547,795.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,502.70 : 968,441.85 = 365,691.90 : x
  2. Step 2: Convert to fraction form
    646,502.70/968,441.85 = 365,691.90/x
  3. Step 3: Cross multiply
    646,502.70x = 968,441.85 × 365,691.90
  4. Step 4: Simplify right side
    646,502.70x = 354,151,340,166.02
  5. Step 5: Solve for x
    x = 354,151,340,166.02/646,502.70
  6. Step 6: Final answer
    x = 547,795.61

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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.