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Finding the Fourth Proportional to 582,433.04, 873,649.20 and 161,708.80

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Solution

The fourth proportional to 582,433.04, 873,649.20 and 161,708.80 is: 242,563.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,433.04 : 873,649.20 = 161,708.80 : x
  2. Step 2: Convert to fraction form
    582,433.04/873,649.20 = 161,708.80/x
  3. Step 3: Cross multiply
    582,433.04x = 873,649.20 × 161,708.80
  4. Step 4: Simplify right side
    582,433.04x = 141,276,763,752.96
  5. Step 5: Solve for x
    x = 141,276,763,752.96/582,433.04
  6. Step 6: Final answer
    x = 242,563.10

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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.