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Finding the Fourth Proportional to 405,750.96, 559,952.82 and 224,459.77

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Solution

The fourth proportional to 405,750.96, 559,952.82 and 224,459.77 is: 309,763.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,750.96 : 559,952.82 = 224,459.77 : x
  2. Step 2: Convert to fraction form
    405,750.96/559,952.82 = 224,459.77/x
  3. Step 3: Cross multiply
    405,750.96x = 559,952.82 × 224,459.77
  4. Step 4: Simplify right side
    405,750.96x = 125,686,881,188.05
  5. Step 5: Solve for x
    x = 125,686,881,188.05/405,750.96
  6. Step 6: Final answer
    x = 309,763.61

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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.