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Finding the Fourth Proportional to 705,384.78, 972,868.23 and 463,915.29

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Solution

The fourth proportional to 705,384.78, 972,868.23 and 463,915.29 is: 639,832.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,384.78 : 972,868.23 = 463,915.29 : x
  2. Step 2: Convert to fraction form
    705,384.78/972,868.23 = 463,915.29/x
  3. Step 3: Cross multiply
    705,384.78x = 972,868.23 × 463,915.29
  4. Step 4: Simplify right side
    705,384.78x = 451,328,447,052.24
  5. Step 5: Solve for x
    x = 451,328,447,052.24/705,384.78
  6. Step 6: Final answer
    x = 639,832.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.