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Finding the Fourth Proportional to 433,960.32, 598,563.84 and 369,264

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Solution

The fourth proportional to 433,960.32, 598,563.84 and 369,264 is: 509,327.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,960.32 : 598,563.84 = 369,264 : x
  2. Step 2: Convert to fraction form
    433,960.32/598,563.84 = 369,264/x
  3. Step 3: Cross multiply
    433,960.32x = 598,563.84 × 369,264
  4. Step 4: Simplify right side
    433,960.32x = 221,028,077,813.76
  5. Step 5: Solve for x
    x = 221,028,077,813.76/433,960.32
  6. Step 6: Final answer
    x = 509,327.85

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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.