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Finding the Fourth Proportional to 328,542.30, 492,813.45 and 295,364.70

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Solution

The fourth proportional to 328,542.30, 492,813.45 and 295,364.70 is: 443,047.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,542.30 : 492,813.45 = 295,364.70 : x
  2. Step 2: Convert to fraction form
    328,542.30/492,813.45 = 295,364.70/x
  3. Step 3: Cross multiply
    328,542.30x = 492,813.45 × 295,364.70
  4. Step 4: Simplify right side
    328,542.30x = 145,559,696,815.22
  5. Step 5: Solve for x
    x = 145,559,696,815.22/328,542.30
  6. Step 6: Final answer
    x = 443,047.05

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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.