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Finding the Fourth Proportional to 287,207.60, 431,329.80 and 208,410.80

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Solution

The fourth proportional to 287,207.60, 431,329.80 and 208,410.80 is: 312,992.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,207.60 : 431,329.80 = 208,410.80 : x
  2. Step 2: Convert to fraction form
    287,207.60/431,329.80 = 208,410.80/x
  3. Step 3: Cross multiply
    287,207.60x = 431,329.80 × 208,410.80
  4. Step 4: Simplify right side
    287,207.60x = 89,893,788,681.84
  5. Step 5: Solve for x
    x = 89,893,788,681.84/287,207.60
  6. Step 6: Final answer
    x = 312,992.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.