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Finding the Fourth Proportional to 564,631.46, 779,192.70 and 309,999.04

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Solution

The fourth proportional to 564,631.46, 779,192.70 and 309,999.04 is: 427,799.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,631.46 : 779,192.70 = 309,999.04 : x
  2. Step 2: Convert to fraction form
    564,631.46/779,192.70 = 309,999.04/x
  3. Step 3: Cross multiply
    564,631.46x = 779,192.70 × 309,999.04
  4. Step 4: Simplify right side
    564,631.46x = 241,548,988,975.01
  5. Step 5: Solve for x
    x = 241,548,988,975.01/564,631.46
  6. Step 6: Final answer
    x = 427,799.38

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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.