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Finding the Fourth Proportional to 489,205.10, 733,807.66 and 471,490.40

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Solution

The fourth proportional to 489,205.10, 733,807.66 and 471,490.40 is: 707,235.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,205.10 : 733,807.66 = 471,490.40 : x
  2. Step 2: Convert to fraction form
    489,205.10/733,807.66 = 471,490.40/x
  3. Step 3: Cross multiply
    489,205.10x = 733,807.66 × 471,490.40
  4. Step 4: Simplify right side
    489,205.10x = 345,983,267,136.46
  5. Step 5: Solve for x
    x = 345,983,267,136.46/489,205.10
  6. Step 6: Final answer
    x = 707,235.61

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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.