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Finding the Fourth Proportional to 561,123.19, 774,354.10 and 306,474.38

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Solution

The fourth proportional to 561,123.19, 774,354.10 and 306,474.38 is: 422,936.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,123.19 : 774,354.10 = 306,474.38 : x
  2. Step 2: Convert to fraction form
    561,123.19/774,354.10 = 306,474.38/x
  3. Step 3: Cross multiply
    561,123.19x = 774,354.10 × 306,474.38
  4. Step 4: Simplify right side
    561,123.19x = 237,319,688,060.00
  5. Step 5: Solve for x
    x = 237,319,688,060.00/561,123.19
  6. Step 6: Final answer
    x = 422,936.88

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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.