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Finding the Fourth Proportional to 546,577.34, 819,842.45 and 186,780.33

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Solution

The fourth proportional to 546,577.34, 819,842.45 and 186,780.33 is: 280,162.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,577.34 : 819,842.45 = 186,780.33 : x
  2. Step 2: Convert to fraction form
    546,577.34/819,842.45 = 186,780.33/x
  3. Step 3: Cross multiply
    546,577.34x = 819,842.45 × 186,780.33
  4. Step 4: Simplify right side
    546,577.34x = 153,130,442,425.11
  5. Step 5: Solve for x
    x = 153,130,442,425.11/546,577.34
  6. Step 6: Final answer
    x = 280,162.44

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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.