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Finding the Fourth Proportional to 526,330.50, 726,334.83 and 296,887.02

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Solution

The fourth proportional to 526,330.50, 726,334.83 and 296,887.02 is: 409,703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,330.50 : 726,334.83 = 296,887.02 : x
  2. Step 2: Convert to fraction form
    526,330.50/726,334.83 = 296,887.02/x
  3. Step 3: Cross multiply
    526,330.50x = 726,334.83 × 296,887.02
  4. Step 4: Simplify right side
    526,330.50x = 215,639,383,200.91
  5. Step 5: Solve for x
    x = 215,639,383,200.91/526,330.50
  6. Step 6: Final answer
    x = 409,703.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.