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Finding the Fourth Proportional to 397,302, 596,327.52 and 144,826.50

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Solution

The fourth proportional to 397,302, 596,327.52 and 144,826.50 is: 217,376.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,302 : 596,327.52 = 144,826.50 : x
  2. Step 2: Convert to fraction form
    397,302/596,327.52 = 144,826.50/x
  3. Step 3: Cross multiply
    397,302x = 596,327.52 × 144,826.50
  4. Step 4: Simplify right side
    397,302x = 86,364,027,575.28
  5. Step 5: Solve for x
    x = 86,364,027,575.28/397,302
  6. Step 6: Final answer
    x = 217,376.27

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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.