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Finding the Fourth Proportional to 389,409.48, 537,410.16 and 219,639.96

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Solution

The fourth proportional to 389,409.48, 537,410.16 and 219,639.96 is: 303,117.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,409.48 : 537,410.16 = 219,639.96 : x
  2. Step 2: Convert to fraction form
    389,409.48/537,410.16 = 219,639.96/x
  3. Step 3: Cross multiply
    389,409.48x = 537,410.16 × 219,639.96
  4. Step 4: Simplify right side
    389,409.48x = 118,036,746,045.99
  5. Step 5: Solve for x
    x = 118,036,746,045.99/389,409.48
  6. Step 6: Final answer
    x = 303,117.29

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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.