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Finding the Fourth Proportional to 1,970,542, 2,955,813 and 474,634

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Solution

The fourth proportional to 1,970,542, 2,955,813 and 474,634 is: 711,951

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970,542 : 2,955,813 = 474,634 : x
  2. Step 2: Convert to fraction form
    1,970,542/2,955,813 = 474,634/x
  3. Step 3: Cross multiply
    1,970,542x = 2,955,813 × 474,634
  4. Step 4: Simplify right side
    1,970,542x = 1,402,929,347,442
  5. Step 5: Solve for x
    x = 1,402,929,347,442/1,970,542
  6. Step 6: Final answer
    x = 711,951

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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.