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Finding the Fourth Proportional to 546,402.84, 819,604.26 and 172,455

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Solution

The fourth proportional to 546,402.84, 819,604.26 and 172,455 is: 258,682.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,402.84 : 819,604.26 = 172,455 : x
  2. Step 2: Convert to fraction form
    546,402.84/819,604.26 = 172,455/x
  3. Step 3: Cross multiply
    546,402.84x = 819,604.26 × 172,455
  4. Step 4: Simplify right side
    546,402.84x = 141,344,852,658.30
  5. Step 5: Solve for x
    x = 141,344,852,658.30/546,402.84
  6. Step 6: Final answer
    x = 258,682.50

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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.