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Finding the Fourth Proportional to 406,173.29, 560,640.64 and 262,943.01

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Solution

The fourth proportional to 406,173.29, 560,640.64 and 262,943.01 is: 362,940.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,173.29 : 560,640.64 = 262,943.01 : x
  2. Step 2: Convert to fraction form
    406,173.29/560,640.64 = 262,943.01/x
  3. Step 3: Cross multiply
    406,173.29x = 560,640.64 × 262,943.01
  4. Step 4: Simplify right side
    406,173.29x = 147,416,537,245.59
  5. Step 5: Solve for x
    x = 147,416,537,245.59/406,173.29
  6. Step 6: Final answer
    x = 362,940.01

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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.