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Finding the Fourth Proportional to 560,728.16, 841,104.16 and 200,922.48

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Solution

The fourth proportional to 560,728.16, 841,104.16 and 200,922.48 is: 301,387.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,728.16 : 841,104.16 = 200,922.48 : x
  2. Step 2: Convert to fraction form
    560,728.16/841,104.16 = 200,922.48/x
  3. Step 3: Cross multiply
    560,728.16x = 841,104.16 × 200,922.48
  4. Step 4: Simplify right side
    560,728.16x = 168,996,733,765.52
  5. Step 5: Solve for x
    x = 168,996,733,765.52/560,728.16
  6. Step 6: Final answer
    x = 301,387.99

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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.