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Finding the Fourth Proportional to 461,008.24, 691,774.68 and 368,104.40

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Solution

The fourth proportional to 461,008.24, 691,774.68 and 368,104.40 is: 552,366.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,008.24 : 691,774.68 = 368,104.40 : x
  2. Step 2: Convert to fraction form
    461,008.24/691,774.68 = 368,104.40/x
  3. Step 3: Cross multiply
    461,008.24x = 691,774.68 × 368,104.40
  4. Step 4: Simplify right side
    461,008.24x = 254,645,303,516.59
  5. Step 5: Solve for x
    x = 254,645,303,516.59/461,008.24
  6. Step 6: Final answer
    x = 552,366.06

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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.