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Finding the Fourth Proportional to 328,941.60, 492,537.60 and 209,968.80

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Solution

The fourth proportional to 328,941.60, 492,537.60 and 209,968.80 is: 314,394.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,941.60 : 492,537.60 = 209,968.80 : x
  2. Step 2: Convert to fraction form
    328,941.60/492,537.60 = 209,968.80/x
  3. Step 3: Cross multiply
    328,941.60x = 492,537.60 × 209,968.80
  4. Step 4: Simplify right side
    328,941.60x = 103,417,528,826.88
  5. Step 5: Solve for x
    x = 103,417,528,826.88/328,941.60
  6. Step 6: Final answer
    x = 314,394.80

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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.