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Finding the Fourth Proportional to 565,546.08, 846,472.88 and 415,746.72

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Solution

The fourth proportional to 565,546.08, 846,472.88 and 415,746.72 is: 622,262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,546.08 : 846,472.88 = 415,746.72 : x
  2. Step 2: Convert to fraction form
    565,546.08/846,472.88 = 415,746.72/x
  3. Step 3: Cross multiply
    565,546.08x = 846,472.88 × 415,746.72
  4. Step 4: Simplify right side
    565,546.08x = 351,918,323,428.95
  5. Step 5: Solve for x
    x = 351,918,323,428.95/565,546.08
  6. Step 6: Final answer
    x = 622,262.86

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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.