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Finding the Fourth Proportional to 678,896, 1,018,344 and 235,664

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Solution

The fourth proportional to 678,896, 1,018,344 and 235,664 is: 353,496

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,896 : 1,018,344 = 235,664 : x
  2. Step 2: Convert to fraction form
    678,896/1,018,344 = 235,664/x
  3. Step 3: Cross multiply
    678,896x = 1,018,344 × 235,664
  4. Step 4: Simplify right side
    678,896x = 239,987,020,416
  5. Step 5: Solve for x
    x = 239,987,020,416/678,896
  6. Step 6: Final answer
    x = 353,496

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.