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Finding the Fourth Proportional to 621,675.81, 932,513.73 and 411,264.54

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Solution

The fourth proportional to 621,675.81, 932,513.73 and 411,264.54 is: 616,896.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,675.81 : 932,513.73 = 411,264.54 : x
  2. Step 2: Convert to fraction form
    621,675.81/932,513.73 = 411,264.54/x
  3. Step 3: Cross multiply
    621,675.81x = 932,513.73 × 411,264.54
  4. Step 4: Simplify right side
    621,675.81x = 383,509,830,212.13
  5. Step 5: Solve for x
    x = 383,509,830,212.13/621,675.81
  6. Step 6: Final answer
    x = 616,896.82

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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.