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Finding the Fourth Proportional to 546,288.84, 819,433.26 and 172,341

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Solution

The fourth proportional to 546,288.84, 819,433.26 and 172,341 is: 258,511.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,288.84 : 819,433.26 = 172,341 : x
  2. Step 2: Convert to fraction form
    546,288.84/819,433.26 = 172,341/x
  3. Step 3: Cross multiply
    546,288.84x = 819,433.26 × 172,341
  4. Step 4: Simplify right side
    546,288.84x = 141,221,947,461.66
  5. Step 5: Solve for x
    x = 141,221,947,461.66/546,288.84
  6. Step 6: Final answer
    x = 258,511.50

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.