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Finding the Fourth Proportional to 489,114.65, 733,671.98 and 489,114.65

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Solution

The fourth proportional to 489,114.65, 733,671.98 and 489,114.65 is: 733,671.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,114.65 : 733,671.98 = 489,114.65 : x
  2. Step 2: Convert to fraction form
    489,114.65/733,671.98 = 489,114.65/x
  3. Step 3: Cross multiply
    489,114.65x = 733,671.98 × 489,114.65
  4. Step 4: Simplify right side
    489,114.65x = 358,849,711,266.93
  5. Step 5: Solve for x
    x = 358,849,711,266.93/489,114.65
  6. Step 6: Final answer
    x = 733,671.98

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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.