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Finding the Fourth Proportional to 413,999.10, 620,998.65 and 411,374.70

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Solution

The fourth proportional to 413,999.10, 620,998.65 and 411,374.70 is: 617,062.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,999.10 : 620,998.65 = 411,374.70 : x
  2. Step 2: Convert to fraction form
    413,999.10/620,998.65 = 411,374.70/x
  3. Step 3: Cross multiply
    413,999.10x = 620,998.65 × 411,374.70
  4. Step 4: Simplify right side
    413,999.10x = 255,463,133,344.16
  5. Step 5: Solve for x
    x = 255,463,133,344.16/413,999.10
  6. Step 6: Final answer
    x = 617,062.05

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Why These Related Problems?

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