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Finding the Fourth Proportional to 590,506.40, 885,759.60 and 413,213.60

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Solution

The fourth proportional to 590,506.40, 885,759.60 and 413,213.60 is: 619,820.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,506.40 : 885,759.60 = 413,213.60 : x
  2. Step 2: Convert to fraction form
    590,506.40/885,759.60 = 413,213.60/x
  3. Step 3: Cross multiply
    590,506.40x = 885,759.60 × 413,213.60
  4. Step 4: Simplify right side
    590,506.40x = 366,007,913,050.56
  5. Step 5: Solve for x
    x = 366,007,913,050.56/590,506.40
  6. Step 6: Final answer
    x = 619,820.40

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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.