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Finding the Fourth Proportional to 489,210.15, 733,815.23 and 489,210.15

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Solution

The fourth proportional to 489,210.15, 733,815.23 and 489,210.15 is: 733,815.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,210.15 : 733,815.23 = 489,210.15 : x
  2. Step 2: Convert to fraction form
    489,210.15/733,815.23 = 489,210.15/x
  3. Step 3: Cross multiply
    489,210.15x = 733,815.23 × 489,210.15
  4. Step 4: Simplify right side
    489,210.15x = 358,989,856,294.53
  5. Step 5: Solve for x
    x = 358,989,856,294.53/489,210.15
  6. Step 6: Final answer
    x = 733,815.23

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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.