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Finding the Fourth Proportional to 515,981.16, 712,040.40 and 286,531.38

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Solution

The fourth proportional to 515,981.16, 712,040.40 and 286,531.38 is: 395,405.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,981.16 : 712,040.40 = 286,531.38 : x
  2. Step 2: Convert to fraction form
    515,981.16/712,040.40 = 286,531.38/x
  3. Step 3: Cross multiply
    515,981.16x = 712,040.40 × 286,531.38
  4. Step 4: Simplify right side
    515,981.16x = 204,021,918,427.75
  5. Step 5: Solve for x
    x = 204,021,918,427.75/515,981.16
  6. Step 6: Final answer
    x = 395,405.75

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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.