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Finding the Fourth Proportional to 863,312.88, 1,293,861.09 and 413,359.50

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Solution

The fourth proportional to 863,312.88, 1,293,861.09 and 413,359.50 is: 619,508.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,312.88 : 1,293,861.09 = 413,359.50 : x
  2. Step 2: Convert to fraction form
    863,312.88/1,293,861.09 = 413,359.50/x
  3. Step 3: Cross multiply
    863,312.88x = 1,293,861.09 × 413,359.50
  4. Step 4: Simplify right side
    863,312.88x = 534,829,779,633.93
  5. Step 5: Solve for x
    x = 534,829,779,633.93/863,312.88
  6. Step 6: Final answer
    x = 619,508.63

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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.