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Finding the Fourth Proportional to 406,174.29, 560,642.02 and 262,944.01

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Solution

The fourth proportional to 406,174.29, 560,642.02 and 262,944.01 is: 362,941.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,174.29 : 560,642.02 = 262,944.01 : x
  2. Step 2: Convert to fraction form
    406,174.29/560,642.02 = 262,944.01/x
  3. Step 3: Cross multiply
    406,174.29x = 560,642.02 × 262,944.01
  4. Step 4: Simplify right side
    406,174.29x = 147,417,460,913.30
  5. Step 5: Solve for x
    x = 147,417,460,913.30/406,174.29
  6. Step 6: Final answer
    x = 362,941.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.