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Finding the Fourth Proportional to 565,033.28, 847,907.04 and 315,878.72

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Solution

The fourth proportional to 565,033.28, 847,907.04 and 315,878.72 is: 474,017.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,033.28 : 847,907.04 = 315,878.72 : x
  2. Step 2: Convert to fraction form
    565,033.28/847,907.04 = 315,878.72/x
  3. Step 3: Cross multiply
    565,033.28x = 847,907.04 × 315,878.72
  4. Step 4: Simplify right side
    565,033.28x = 267,835,790,474.19
  5. Step 5: Solve for x
    x = 267,835,790,474.19/565,033.28
  6. Step 6: Final answer
    x = 474,017.73

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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.