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Finding the Fourth Proportional to 385,328.36, 531,860.10 and 224,214.64

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Solution

The fourth proportional to 385,328.36, 531,860.10 and 224,214.64 is: 309,478.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,328.36 : 531,860.10 = 224,214.64 : x
  2. Step 2: Convert to fraction form
    385,328.36/531,860.10 = 224,214.64/x
  3. Step 3: Cross multiply
    385,328.36x = 531,860.10 × 224,214.64
  4. Step 4: Simplify right side
    385,328.36x = 119,250,820,851.86
  5. Step 5: Solve for x
    x = 119,250,820,851.86/385,328.36
  6. Step 6: Final answer
    x = 309,478.44

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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.