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Finding the Fourth Proportional to 688,620.90, 950,141.13 and 416,681.94

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Solution

The fourth proportional to 688,620.90, 950,141.13 and 416,681.94 is: 574,926.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,620.90 : 950,141.13 = 416,681.94 : x
  2. Step 2: Convert to fraction form
    688,620.90/950,141.13 = 416,681.94/x
  3. Step 3: Cross multiply
    688,620.90x = 950,141.13 × 416,681.94
  4. Step 4: Simplify right side
    688,620.90x = 395,906,649,322.19
  5. Step 5: Solve for x
    x = 395,906,649,322.19/688,620.90
  6. Step 6: Final answer
    x = 574,926.86

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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.