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Finding the Fourth Proportional to 468,026.12, 645,820.40 and 264,065.32

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Solution

The fourth proportional to 468,026.12, 645,820.40 and 264,065.32 is: 364,378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,026.12 : 645,820.40 = 264,065.32 : x
  2. Step 2: Convert to fraction form
    468,026.12/645,820.40 = 264,065.32/x
  3. Step 3: Cross multiply
    468,026.12x = 645,820.40 × 264,065.32
  4. Step 4: Simplify right side
    468,026.12x = 170,538,770,588.53
  5. Step 5: Solve for x
    x = 170,538,770,588.53/468,026.12
  6. Step 6: Final answer
    x = 364,378.75

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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.