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Finding the Fourth Proportional to 504,014.10, 754,271.55 and 462,023.70

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Solution

The fourth proportional to 504,014.10, 754,271.55 and 462,023.70 is: 691,431.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,014.10 : 754,271.55 = 462,023.70 : x
  2. Step 2: Convert to fraction form
    504,014.10/754,271.55 = 462,023.70/x
  3. Step 3: Cross multiply
    504,014.10x = 754,271.55 × 462,023.70
  4. Step 4: Simplify right side
    504,014.10x = 348,491,332,335.74
  5. Step 5: Solve for x
    x = 348,491,332,335.74/504,014.10
  6. Step 6: Final answer
    x = 691,431.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.