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Finding the Fourth Proportional to 569,177.24, 785,464.86 and 314,528.42

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Solution

The fourth proportional to 569,177.24, 785,464.86 and 314,528.42 is: 434,049.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,177.24 : 785,464.86 = 314,528.42 : x
  2. Step 2: Convert to fraction form
    569,177.24/785,464.86 = 314,528.42/x
  3. Step 3: Cross multiply
    569,177.24x = 785,464.86 × 314,528.42
  4. Step 4: Simplify right side
    569,177.24x = 247,051,021,381.32
  5. Step 5: Solve for x
    x = 247,051,021,381.32/569,177.24
  6. Step 6: Final answer
    x = 434,049.37

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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.