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Finding the Fourth Proportional to 405,386.83, 559,430.13 and 224,103.43

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Solution

The fourth proportional to 405,386.83, 559,430.13 and 224,103.43 is: 309,260.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,386.83 : 559,430.13 = 224,103.43 : x
  2. Step 2: Convert to fraction form
    405,386.83/559,430.13 = 224,103.43/x
  3. Step 3: Cross multiply
    405,386.83x = 559,430.13 × 224,103.43
  4. Step 4: Simplify right side
    405,386.83x = 125,370,210,978.35
  5. Step 5: Solve for x
    x = 125,370,210,978.35/405,386.83
  6. Step 6: Final answer
    x = 309,260.69

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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.