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Finding the Fourth Proportional to 287,806.40, 431,709.60 and 217,822.40

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Solution

The fourth proportional to 287,806.40, 431,709.60 and 217,822.40 is: 326,733.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,806.40 : 431,709.60 = 217,822.40 : x
  2. Step 2: Convert to fraction form
    287,806.40/431,709.60 = 217,822.40/x
  3. Step 3: Cross multiply
    287,806.40x = 431,709.60 × 217,822.40
  4. Step 4: Simplify right side
    287,806.40x = 94,036,021,175.04
  5. Step 5: Solve for x
    x = 94,036,021,175.04/287,806.40
  6. Step 6: Final answer
    x = 326,733.60

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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.