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Finding the Fourth Proportional to 389,547.82, 537,576.51 and 219,797.74

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Solution

The fourth proportional to 389,547.82, 537,576.51 and 219,797.74 is: 303,321.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,547.82 : 537,576.51 = 219,797.74 : x
  2. Step 2: Convert to fraction form
    389,547.82/537,576.51 = 219,797.74/x
  3. Step 3: Cross multiply
    389,547.82x = 537,576.51 × 219,797.74
  4. Step 4: Simplify right side
    389,547.82x = 118,158,101,975.09
  5. Step 5: Solve for x
    x = 118,158,101,975.09/389,547.82
  6. Step 6: Final answer
    x = 303,321.17

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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.