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Finding the Fourth Proportional to 405,461.07, 559,513.71 and 224,162.42

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Solution

The fourth proportional to 405,461.07, 559,513.71 and 224,162.42 is: 309,331.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,461.07 : 559,513.71 = 224,162.42 : x
  2. Step 2: Convert to fraction form
    405,461.07/559,513.71 = 224,162.42/x
  3. Step 3: Cross multiply
    405,461.07x = 559,513.71 × 224,162.42
  4. Step 4: Simplify right side
    405,461.07x = 125,421,944,459.21
  5. Step 5: Solve for x
    x = 125,421,944,459.21/405,461.07
  6. Step 6: Final answer
    x = 309,331.66

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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.