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Finding the Fourth Proportional to 458,784.90, 633,173.08 and 277,596.80

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Solution

The fourth proportional to 458,784.90, 633,173.08 and 277,596.80 is: 383,113.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,784.90 : 633,173.08 = 277,596.80 : x
  2. Step 2: Convert to fraction form
    458,784.90/633,173.08 = 277,596.80/x
  3. Step 3: Cross multiply
    458,784.90x = 633,173.08 × 277,596.80
  4. Step 4: Simplify right side
    458,784.90x = 175,766,820,854.14
  5. Step 5: Solve for x
    x = 175,766,820,854.14/458,784.90
  6. Step 6: Final answer
    x = 383,113.79

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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.