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Finding the Fourth Proportional to 704,149.94, 971,709.81 and 402,324.50

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Solution

The fourth proportional to 704,149.94, 971,709.81 and 402,324.50 is: 555,198.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,149.94 : 971,709.81 = 402,324.50 : x
  2. Step 2: Convert to fraction form
    704,149.94/971,709.81 = 402,324.50/x
  3. Step 3: Cross multiply
    704,149.94x = 971,709.81 × 402,324.50
  4. Step 4: Simplify right side
    704,149.94x = 390,942,663,453.35
  5. Step 5: Solve for x
    x = 390,942,663,453.35/704,149.94
  6. Step 6: Final answer
    x = 555,198.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.