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Finding the Fourth Proportional to 560,729.16, 841,105.66 and 200,923.48

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Solution

The fourth proportional to 560,729.16, 841,105.66 and 200,923.48 is: 301,389.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,729.16 : 841,105.66 = 200,923.48 : x
  2. Step 2: Convert to fraction form
    560,729.16/841,105.66 = 200,923.48/x
  3. Step 3: Cross multiply
    560,729.16x = 841,105.66 × 200,923.48
  4. Step 4: Simplify right side
    560,729.16x = 168,997,876,254.90
  5. Step 5: Solve for x
    x = 168,997,876,254.90/560,729.16
  6. Step 6: Final answer
    x = 301,389.49

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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.