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Finding the Fourth Proportional to 565,172.12, 847,756.02 and 144,447.32

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Solution

The fourth proportional to 565,172.12, 847,756.02 and 144,447.32 is: 216,670.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,172.12 : 847,756.02 = 144,447.32 : x
  2. Step 2: Convert to fraction form
    565,172.12/847,756.02 = 144,447.32/x
  3. Step 3: Cross multiply
    565,172.12x = 847,756.02 × 144,447.32
  4. Step 4: Simplify right side
    565,172.12x = 122,456,085,102.87
  5. Step 5: Solve for x
    x = 122,456,085,102.87/565,172.12
  6. Step 6: Final answer
    x = 216,670.43

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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.