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Finding the Fourth Proportional to 560,872.16, 841,419.14 and 205,889.25

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Solution

The fourth proportional to 560,872.16, 841,419.14 and 205,889.25 is: 308,874.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,872.16 : 841,419.14 = 205,889.25 : x
  2. Step 2: Convert to fraction form
    560,872.16/841,419.14 = 205,889.25/x
  3. Step 3: Cross multiply
    560,872.16x = 841,419.14 × 205,889.25
  4. Step 4: Simplify right side
    560,872.16x = 173,239,154,640.80
  5. Step 5: Solve for x
    x = 173,239,154,640.80/560,872.16
  6. Step 6: Final answer
    x = 308,874.59

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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.