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Finding the Fourth Proportional to 533,454.62, 736,435.06 and 412,322.15

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Solution

The fourth proportional to 533,454.62, 736,435.06 and 412,322.15 is: 569,211.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,454.62 : 736,435.06 = 412,322.15 : x
  2. Step 2: Convert to fraction form
    533,454.62/736,435.06 = 412,322.15/x
  3. Step 3: Cross multiply
    533,454.62x = 736,435.06 × 412,322.15
  4. Step 4: Simplify right side
    533,454.62x = 303,648,488,084.86
  5. Step 5: Solve for x
    x = 303,648,488,084.86/533,454.62
  6. Step 6: Final answer
    x = 569,211.47

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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.