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Finding the Fourth Proportional to 546,296.28, 819,528.84 and 186,382.86

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Solution

The fourth proportional to 546,296.28, 819,528.84 and 186,382.86 is: 279,603.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,296.28 : 819,528.84 = 186,382.86 : x
  2. Step 2: Convert to fraction form
    546,296.28/819,528.84 = 186,382.86/x
  3. Step 3: Cross multiply
    546,296.28x = 819,528.84 × 186,382.86
  4. Step 4: Simplify right side
    546,296.28x = 152,746,129,051.68
  5. Step 5: Solve for x
    x = 152,746,129,051.68/546,296.28
  6. Step 6: Final answer
    x = 279,603.09

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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.