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Finding the Fourth Proportional to 405,750.46, 559,952.12 and 224,459.26

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Solution

The fourth proportional to 405,750.46, 559,952.12 and 224,459.26 is: 309,762.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,750.46 : 559,952.12 = 224,459.26 : x
  2. Step 2: Convert to fraction form
    405,750.46/559,952.12 = 224,459.26/x
  3. Step 3: Cross multiply
    405,750.46x = 559,952.12 × 224,459.26
  4. Step 4: Simplify right side
    405,750.46x = 125,686,438,490.63
  5. Step 5: Solve for x
    x = 125,686,438,490.63/405,750.46
  6. Step 6: Final answer
    x = 309,762.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.