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Finding the Fourth Proportional to 565,172.37, 847,756.40 and 144,447.57

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Solution

The fourth proportional to 565,172.37, 847,756.40 and 144,447.57 is: 216,670.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,172.37 : 847,756.40 = 144,447.57 : x
  2. Step 2: Convert to fraction form
    565,172.37/847,756.40 = 144,447.57/x
  3. Step 3: Cross multiply
    565,172.37x = 847,756.40 × 144,447.57
  4. Step 4: Simplify right side
    565,172.37x = 122,456,351,209.71
  5. Step 5: Solve for x
    x = 122,456,351,209.71/565,172.37
  6. Step 6: Final answer
    x = 216,670.80

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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.