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Finding the Fourth Proportional to 328,541.80, 492,812.70 and 295,364.20

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Solution

The fourth proportional to 328,541.80, 492,812.70 and 295,364.20 is: 443,046.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,541.80 : 492,812.70 = 295,364.20 : x
  2. Step 2: Convert to fraction form
    328,541.80/492,812.70 = 295,364.20/x
  3. Step 3: Cross multiply
    328,541.80x = 492,812.70 × 295,364.20
  4. Step 4: Simplify right side
    328,541.80x = 145,559,228,885.34
  5. Step 5: Solve for x
    x = 145,559,228,885.34/328,541.80
  6. Step 6: Final answer
    x = 443,046.30

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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.