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Finding the Fourth Proportional to 565,430.70, 846,928.10 and 265,461.78

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Solution

The fourth proportional to 565,430.70, 846,928.10 and 265,461.78 is: 397,620.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,430.70 : 846,928.10 = 265,461.78 : x
  2. Step 2: Convert to fraction form
    565,430.70/846,928.10 = 265,461.78/x
  3. Step 3: Cross multiply
    565,430.70x = 846,928.10 × 265,461.78
  4. Step 4: Simplify right side
    565,430.70x = 224,827,040,958.02
  5. Step 5: Solve for x
    x = 224,827,040,958.02/565,430.70
  6. Step 6: Final answer
    x = 397,620.86

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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.