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Finding the Fourth Proportional to 971,036, 1,456,554 and 306,188

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Solution

The fourth proportional to 971,036, 1,456,554 and 306,188 is: 459,282

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,036 : 1,456,554 = 306,188 : x
  2. Step 2: Convert to fraction form
    971,036/1,456,554 = 306,188/x
  3. Step 3: Cross multiply
    971,036x = 1,456,554 × 306,188
  4. Step 4: Simplify right side
    971,036x = 445,979,356,152
  5. Step 5: Solve for x
    x = 445,979,356,152/971,036
  6. Step 6: Final answer
    x = 459,282

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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.