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Finding the Fourth Proportional to 488,542.70, 732,814.05 and 409,810.70

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Solution

The fourth proportional to 488,542.70, 732,814.05 and 409,810.70 is: 614,716.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,542.70 : 732,814.05 = 409,810.70 : x
  2. Step 2: Convert to fraction form
    488,542.70/732,814.05 = 409,810.70/x
  3. Step 3: Cross multiply
    488,542.70x = 732,814.05 × 409,810.70
  4. Step 4: Simplify right side
    488,542.70x = 300,315,038,800.34
  5. Step 5: Solve for x
    x = 300,315,038,800.34/488,542.70
  6. Step 6: Final answer
    x = 614,716.05

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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.