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Finding the Fourth Proportional to 389,228.90, 537,154.54 and 219,459.38

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Solution

The fourth proportional to 389,228.90, 537,154.54 and 219,459.38 is: 302,864.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,228.90 : 537,154.54 = 219,459.38 : x
  2. Step 2: Convert to fraction form
    389,228.90/537,154.54 = 219,459.38/x
  3. Step 3: Cross multiply
    389,228.90x = 537,154.54 × 219,459.38
  4. Step 4: Simplify right side
    389,228.90x = 117,883,599,078.16
  5. Step 5: Solve for x
    x = 117,883,599,078.16/389,228.90
  6. Step 6: Final answer
    x = 302,864.46

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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.