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Finding the Fourth Proportional to 261,009, 391,513.50 and 64,017

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Solution

The fourth proportional to 261,009, 391,513.50 and 64,017 is: 96,025.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,009 : 391,513.50 = 64,017 : x
  2. Step 2: Convert to fraction form
    261,009/391,513.50 = 64,017/x
  3. Step 3: Cross multiply
    261,009x = 391,513.50 × 64,017
  4. Step 4: Simplify right side
    261,009x = 25,063,519,729.50
  5. Step 5: Solve for x
    x = 25,063,519,729.50/261,009
  6. Step 6: Final answer
    x = 96,025.50

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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.