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Finding the Fourth Proportional to 406,389.40, 560,764.24 and 234,313.81

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Solution

The fourth proportional to 406,389.40, 560,764.24 and 234,313.81 is: 323,322.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,389.40 : 560,764.24 = 234,313.81 : x
  2. Step 2: Convert to fraction form
    406,389.40/560,764.24 = 234,313.81/x
  3. Step 3: Cross multiply
    406,389.40x = 560,764.24 × 234,313.81
  4. Step 4: Simplify right side
    406,389.40x = 131,394,803,598.46
  5. Step 5: Solve for x
    x = 131,394,803,598.46/406,389.40
  6. Step 6: Final answer
    x = 323,322.42

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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.