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Finding the Fourth Proportional to 704,315.72, 971,950.02 and 382,025

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Solution

The fourth proportional to 704,315.72, 971,950.02 and 382,025 is: 527,191.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,315.72 : 971,950.02 = 382,025 : x
  2. Step 2: Convert to fraction form
    704,315.72/971,950.02 = 382,025/x
  3. Step 3: Cross multiply
    704,315.72x = 971,950.02 × 382,025
  4. Step 4: Simplify right side
    704,315.72x = 371,309,206,390.50
  5. Step 5: Solve for x
    x = 371,309,206,390.50/704,315.72
  6. Step 6: Final answer
    x = 527,191.42

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1.5x scale

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.