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Finding the Fourth Proportional to 504,013.60, 754,270.80 and 462,023.20

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Solution

The fourth proportional to 504,013.60, 754,270.80 and 462,023.20 is: 691,430.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,013.60 : 754,270.80 = 462,023.20 : x
  2. Step 2: Convert to fraction form
    504,013.60/754,270.80 = 462,023.20/x
  3. Step 3: Cross multiply
    504,013.60x = 754,270.80 × 462,023.20
  4. Step 4: Simplify right side
    504,013.60x = 348,490,608,682.56
  5. Step 5: Solve for x
    x = 348,490,608,682.56/504,013.60
  6. Step 6: Final answer
    x = 691,430.96

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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.