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Finding the Fourth Proportional to 546,182.25, 753,422.81 and 341,878.52

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Solution

The fourth proportional to 546,182.25, 753,422.81 and 341,878.52 is: 471,599.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,182.25 : 753,422.81 = 341,878.52 : x
  2. Step 2: Convert to fraction form
    546,182.25/753,422.81 = 341,878.52/x
  3. Step 3: Cross multiply
    546,182.25x = 753,422.81 × 341,878.52
  4. Step 4: Simplify right side
    546,182.25x = 257,579,069,740.54
  5. Step 5: Solve for x
    x = 257,579,069,740.54/546,182.25
  6. Step 6: Final answer
    x = 471,599.12

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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.