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Finding the Fourth Proportional to 405,547.10, 559,658.62 and 224,271.23

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Solution

The fourth proportional to 405,547.10, 559,658.62 and 224,271.23 is: 309,496.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,547.10 : 559,658.62 = 224,271.23 : x
  2. Step 2: Convert to fraction form
    405,547.10/559,658.62 = 224,271.23/x
  3. Step 3: Cross multiply
    405,547.10x = 559,658.62 × 224,271.23
  4. Step 4: Simplify right side
    405,547.10x = 125,515,324,289.21
  5. Step 5: Solve for x
    x = 125,515,324,289.21/405,547.10
  6. Step 6: Final answer
    x = 309,496.29

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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.