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Finding the Fourth Proportional to 829,820.80, 1,245,652.80 and 514,633.60

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Solution

The fourth proportional to 829,820.80, 1,245,652.80 and 514,633.60 is: 772,521.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,820.80 : 1,245,652.80 = 514,633.60 : x
  2. Step 2: Convert to fraction form
    829,820.80/1,245,652.80 = 514,633.60/x
  3. Step 3: Cross multiply
    829,820.80x = 1,245,652.80 × 514,633.60
  4. Step 4: Simplify right side
    829,820.80x = 641,054,784,814.08
  5. Step 5: Solve for x
    x = 641,054,784,814.08/829,820.80
  6. Step 6: Final answer
    x = 772,521.95

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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.