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Finding the Fourth Proportional to 1,046,494, 1,569,975 and 381,646

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Solution

The fourth proportional to 1,046,494, 1,569,975 and 381,646 is: 572,554.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046,494 : 1,569,975 = 381,646 : x
  2. Step 2: Convert to fraction form
    1,046,494/1,569,975 = 381,646/x
  3. Step 3: Cross multiply
    1,046,494x = 1,569,975 × 381,646
  4. Step 4: Simplify right side
    1,046,494x = 599,174,678,850
  5. Step 5: Solve for x
    x = 599,174,678,850/1,046,494
  6. Step 6: Final answer
    x = 572,554.34

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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.