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Finding the Fourth Proportional to 405,501.40, 559,581.96 and 224,208.52

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Solution

The fourth proportional to 405,501.40, 559,581.96 and 224,208.52 is: 309,402.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,501.40 : 559,581.96 = 224,208.52 : x
  2. Step 2: Convert to fraction form
    405,501.40/559,581.96 = 224,208.52/x
  3. Step 3: Cross multiply
    405,501.40x = 559,581.96 × 224,208.52
  4. Step 4: Simplify right side
    405,501.40x = 125,463,043,070.30
  5. Step 5: Solve for x
    x = 125,463,043,070.30/405,501.40
  6. Step 6: Final answer
    x = 309,402.24

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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.