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Finding the Fourth Proportional to 389,210.31, 537,110.33 and 219,444.44

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Solution

The fourth proportional to 389,210.31, 537,110.33 and 219,444.44 is: 302,833.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,210.31 : 537,110.33 = 219,444.44 : x
  2. Step 2: Convert to fraction form
    389,210.31/537,110.33 = 219,444.44/x
  3. Step 3: Cross multiply
    389,210.31x = 537,110.33 × 219,444.44
  4. Step 4: Simplify right side
    389,210.31x = 117,865,871,802.29
  5. Step 5: Solve for x
    x = 117,865,871,802.29/389,210.31
  6. Step 6: Final answer
    x = 302,833.38

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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.