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Finding the Fourth Proportional to 546,374.20, 753,977.76 and 301,368.66

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Solution

The fourth proportional to 546,374.20, 753,977.76 and 301,368.66 is: 415,878.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,374.20 : 753,977.76 = 301,368.66 : x
  2. Step 2: Convert to fraction form
    546,374.20/753,977.76 = 301,368.66/x
  3. Step 3: Cross multiply
    546,374.20x = 753,977.76 × 301,368.66
  4. Step 4: Simplify right side
    546,374.20x = 227,225,267,201.00
  5. Step 5: Solve for x
    x = 227,225,267,201.00/546,374.20
  6. Step 6: Final answer
    x = 415,878.47

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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.