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Finding the Fourth Proportional to 569,623.96, 853,688.48 and 419,159.72

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Solution

The fourth proportional to 569,623.96, 853,688.48 and 419,159.72 is: 628,189.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,623.96 : 853,688.48 = 419,159.72 : x
  2. Step 2: Convert to fraction form
    569,623.96/853,688.48 = 419,159.72/x
  3. Step 3: Cross multiply
    569,623.96x = 853,688.48 × 419,159.72
  4. Step 4: Simplify right side
    569,623.96x = 357,831,824,244.03
  5. Step 5: Solve for x
    x = 357,831,824,244.03/569,623.96
  6. Step 6: Final answer
    x = 628,189.56

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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.