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Finding the Fourth Proportional to 430,713.65, 641,650.48 and 411,282.86

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Solution

The fourth proportional to 430,713.65, 641,650.48 and 411,282.86 is: 612,703.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,713.65 : 641,650.48 = 411,282.86 : x
  2. Step 2: Convert to fraction form
    430,713.65/641,650.48 = 411,282.86/x
  3. Step 3: Cross multiply
    430,713.65x = 641,650.48 × 411,282.86
  4. Step 4: Simplify right side
    430,713.65x = 263,899,844,534.77
  5. Step 5: Solve for x
    x = 263,899,844,534.77/430,713.65
  6. Step 6: Final answer
    x = 612,703.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.