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Finding the Fourth Proportional to 489,281.61, 733,085.51 and 382,624.77

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Solution

The fourth proportional to 489,281.61, 733,085.51 and 382,624.77 is: 573,282.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,281.61 : 733,085.51 = 382,624.77 : x
  2. Step 2: Convert to fraction form
    489,281.61/733,085.51 = 382,624.77/x
  3. Step 3: Cross multiply
    489,281.61x = 733,085.51 × 382,624.77
  4. Step 4: Simplify right side
    489,281.61x = 280,496,672,740.96
  5. Step 5: Solve for x
    x = 280,496,672,740.96/489,281.61
  6. Step 6: Final answer
    x = 573,282.68

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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.