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Finding the Fourth Proportional to 702,364.50, 968,954.13 and 411,827.76

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Solution

The fourth proportional to 702,364.50, 968,954.13 and 411,827.76 is: 568,141.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,364.50 : 968,954.13 = 411,827.76 : x
  2. Step 2: Convert to fraction form
    702,364.50/968,954.13 = 411,827.76/x
  3. Step 3: Cross multiply
    702,364.50x = 968,954.13 × 411,827.76
  4. Step 4: Simplify right side
    702,364.50x = 399,042,208,900.65
  5. Step 5: Solve for x
    x = 399,042,208,900.65/702,364.50
  6. Step 6: Final answer
    x = 568,141.20

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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.