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Finding the Fourth Proportional to 443,407.40, 664,916.70 and 177,079.40

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Solution

The fourth proportional to 443,407.40, 664,916.70 and 177,079.40 is: 265,541.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,407.40 : 664,916.70 = 177,079.40 : x
  2. Step 2: Convert to fraction form
    443,407.40/664,916.70 = 177,079.40/x
  3. Step 3: Cross multiply
    443,407.40x = 664,916.70 × 177,079.40
  4. Step 4: Simplify right side
    443,407.40x = 117,743,050,285.98
  5. Step 5: Solve for x
    x = 117,743,050,285.98/443,407.40
  6. Step 6: Final answer
    x = 265,541.46

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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.