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Finding the Fourth Proportional to 384,214.02, 530,193.78 and 214,459.08

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Solution

The fourth proportional to 384,214.02, 530,193.78 and 214,459.08 is: 295,941.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,214.02 : 530,193.78 = 214,459.08 : x
  2. Step 2: Convert to fraction form
    384,214.02/530,193.78 = 214,459.08/x
  3. Step 3: Cross multiply
    384,214.02x = 530,193.78 × 214,459.08
  4. Step 4: Simplify right side
    384,214.02x = 113,704,870,280.52
  5. Step 5: Solve for x
    x = 113,704,870,280.52/384,214.02
  6. Step 6: Final answer
    x = 295,941.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.