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Finding the Fourth Proportional to 546,166.64, 753,401.26 and 341,862.88

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Solution

The fourth proportional to 546,166.64, 753,401.26 and 341,862.88 is: 471,577.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,166.64 : 753,401.26 = 341,862.88 : x
  2. Step 2: Convert to fraction form
    546,166.64/753,401.26 = 341,862.88/x
  3. Step 3: Cross multiply
    546,166.64x = 753,401.26 × 341,862.88
  4. Step 4: Simplify right side
    546,166.64x = 257,559,924,539.23
  5. Step 5: Solve for x
    x = 257,559,924,539.23/546,166.64
  6. Step 6: Final answer
    x = 471,577.55

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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.