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Finding the Fourth Proportional to 565,116.21, 847,674.72 and 144,392.49

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Solution

The fourth proportional to 565,116.21, 847,674.72 and 144,392.49 is: 216,588.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,116.21 : 847,674.72 = 144,392.49 : x
  2. Step 2: Convert to fraction form
    565,116.21/847,674.72 = 144,392.49/x
  3. Step 3: Cross multiply
    565,116.21x = 847,674.72 × 144,392.49
  4. Step 4: Simplify right side
    565,116.21x = 122,397,863,530.85
  5. Step 5: Solve for x
    x = 122,397,863,530.85/565,116.21
  6. Step 6: Final answer
    x = 216,588.84

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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.