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Finding the Fourth Proportional to 569,318.12, 785,023.27 and 465,629.48

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Solution

The fourth proportional to 569,318.12, 785,023.27 and 465,629.48 is: 642,048.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,318.12 : 785,023.27 = 465,629.48 : x
  2. Step 2: Convert to fraction form
    569,318.12/785,023.27 = 465,629.48/x
  3. Step 3: Cross multiply
    569,318.12x = 785,023.27 × 465,629.48
  4. Step 4: Simplify right side
    569,318.12x = 365,529,971,908.81
  5. Step 5: Solve for x
    x = 365,529,971,908.81/569,318.12
  6. Step 6: Final answer
    x = 642,048.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.