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Finding the Fourth Proportional to 471,235.40, 650,697.24 and 437,044.76

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Solution

The fourth proportional to 471,235.40, 650,697.24 and 437,044.76 is: 603,485.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,235.40 : 650,697.24 = 437,044.76 : x
  2. Step 2: Convert to fraction form
    471,235.40/650,697.24 = 437,044.76/x
  3. Step 3: Cross multiply
    471,235.40x = 650,697.24 × 437,044.76
  4. Step 4: Simplify right side
    471,235.40x = 284,383,819,088.46
  5. Step 5: Solve for x
    x = 284,383,819,088.46/471,235.40
  6. Step 6: Final answer
    x = 603,485.69

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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.