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Finding the Fourth Proportional to 405,508.32, 559,678.14 and 244,386.36

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Solution

The fourth proportional to 405,508.32, 559,678.14 and 244,386.36 is: 337,299.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,508.32 : 559,678.14 = 244,386.36 : x
  2. Step 2: Convert to fraction form
    405,508.32/559,678.14 = 244,386.36/x
  3. Step 3: Cross multiply
    405,508.32x = 559,678.14 × 244,386.36
  4. Step 4: Simplify right side
    405,508.32x = 136,777,703,406.17
  5. Step 5: Solve for x
    x = 136,777,703,406.17/405,508.32
  6. Step 6: Final answer
    x = 337,299.38

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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.