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Finding the Fourth Proportional to 702,411.48, 969,224.13 and 411,913.35

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Solution

The fourth proportional to 702,411.48, 969,224.13 and 411,913.35 is: 568,379.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,411.48 : 969,224.13 = 411,913.35 : x
  2. Step 2: Convert to fraction form
    702,411.48/969,224.13 = 411,913.35/x
  3. Step 3: Cross multiply
    702,411.48x = 969,224.13 × 411,913.35
  4. Step 4: Simplify right side
    702,411.48x = 399,236,358,289.14
  5. Step 5: Solve for x
    x = 399,236,358,289.14/702,411.48
  6. Step 6: Final answer
    x = 568,379.60

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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.