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Finding the Fourth Proportional to 562,172.34, 775,797.57 and 307,523.46

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Solution

The fourth proportional to 562,172.34, 775,797.57 and 307,523.46 is: 424,382.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,172.34 : 775,797.57 = 307,523.46 : x
  2. Step 2: Convert to fraction form
    562,172.34/775,797.57 = 307,523.46/x
  3. Step 3: Cross multiply
    562,172.34x = 775,797.57 × 307,523.46
  4. Step 4: Simplify right side
    562,172.34x = 238,575,952,985.99
  5. Step 5: Solve for x
    x = 238,575,952,985.99/562,172.34
  6. Step 6: Final answer
    x = 424,382.23

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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.