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Finding the Fourth Proportional to 476,409.44, 657,461.94 and 261,565.85

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Solution

The fourth proportional to 476,409.44, 657,461.94 and 261,565.85 is: 360,970.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,409.44 : 657,461.94 = 261,565.85 : x
  2. Step 2: Convert to fraction form
    476,409.44/657,461.94 = 261,565.85/x
  3. Step 3: Cross multiply
    476,409.44x = 657,461.94 × 261,565.85
  4. Step 4: Simplify right side
    476,409.44x = 171,969,591,178.75
  5. Step 5: Solve for x
    x = 171,969,591,178.75/476,409.44
  6. Step 6: Final answer
    x = 360,970.16

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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.