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Finding the Fourth Proportional to 546,399.84, 819,599.76 and 172,452

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Solution

The fourth proportional to 546,399.84, 819,599.76 and 172,452 is: 258,678

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,399.84 : 819,599.76 = 172,452 : x
  2. Step 2: Convert to fraction form
    546,399.84/819,599.76 = 172,452/x
  3. Step 3: Cross multiply
    546,399.84x = 819,599.76 × 172,452
  4. Step 4: Simplify right side
    546,399.84x = 141,341,617,811.52
  5. Step 5: Solve for x
    x = 141,341,617,811.52/546,399.84
  6. Step 6: Final answer
    x = 258,678

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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.