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Finding the Fourth Proportional to 961,834, 1,327,392.36 and 537,898

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Solution

The fourth proportional to 961,834, 1,327,392.36 and 537,898 is: 742,333.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,834 : 1,327,392.36 = 537,898 : x
  2. Step 2: Convert to fraction form
    961,834/1,327,392.36 = 537,898/x
  3. Step 3: Cross multiply
    961,834x = 1,327,392.36 × 537,898
  4. Step 4: Simplify right side
    961,834x = 714,001,695,659.28
  5. Step 5: Solve for x
    x = 714,001,695,659.28/961,834
  6. Step 6: Final answer
    x = 742,333.60

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Why These Related Problems?

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