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Finding the Fourth Proportional to 406,082.80, 560,206.56 and 262,889.20

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Solution

The fourth proportional to 406,082.80, 560,206.56 and 262,889.20 is: 362,665.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,082.80 : 560,206.56 = 262,889.20 : x
  2. Step 2: Convert to fraction form
    406,082.80/560,206.56 = 262,889.20/x
  3. Step 3: Cross multiply
    406,082.80x = 560,206.56 × 262,889.20
  4. Step 4: Simplify right side
    406,082.80x = 147,272,254,393.15
  5. Step 5: Solve for x
    x = 147,272,254,393.15/406,082.80
  6. Step 6: Final answer
    x = 362,665.58

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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.