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Finding the Fourth Proportional to 406,299.14, 560,700.63 and 243,123.42

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Solution

The fourth proportional to 406,299.14, 560,700.63 and 243,123.42 is: 335,515.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,299.14 : 560,700.63 = 243,123.42 : x
  2. Step 2: Convert to fraction form
    406,299.14/560,700.63 = 243,123.42/x
  3. Step 3: Cross multiply
    406,299.14x = 560,700.63 × 243,123.42
  4. Step 4: Simplify right side
    406,299.14x = 136,319,456,864.38
  5. Step 5: Solve for x
    x = 136,319,456,864.38/406,299.14
  6. Step 6: Final answer
    x = 335,515.00

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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.