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Finding the Fourth Proportional to 563,817.78, 777,315.81 and 447,915.82

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Solution

The fourth proportional to 563,817.78, 777,315.81 and 447,915.82 is: 617,525.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,817.78 : 777,315.81 = 447,915.82 : x
  2. Step 2: Convert to fraction form
    563,817.78/777,315.81 = 447,915.82/x
  3. Step 3: Cross multiply
    563,817.78x = 777,315.81 × 447,915.82
  4. Step 4: Simplify right side
    563,817.78x = 348,172,047,611.61
  5. Step 5: Solve for x
    x = 348,172,047,611.61/563,817.78
  6. Step 6: Final answer
    x = 617,525.84

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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.