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Finding the Fourth Proportional to 565,236.32, 780,023.76 and 310,586.72

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Solution

The fourth proportional to 565,236.32, 780,023.76 and 310,586.72 is: 428,608.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,236.32 : 780,023.76 = 310,586.72 : x
  2. Step 2: Convert to fraction form
    565,236.32/780,023.76 = 310,586.72/x
  3. Step 3: Cross multiply
    565,236.32x = 780,023.76 × 310,586.72
  4. Step 4: Simplify right side
    565,236.32x = 242,265,021,140.47
  5. Step 5: Solve for x
    x = 242,265,021,140.47/565,236.32
  6. Step 6: Final answer
    x = 428,608.38

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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.