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Finding the Fourth Proportional to 442,030.10, 664,029.30 and 424,096.70

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Solution

The fourth proportional to 442,030.10, 664,029.30 and 424,096.70 is: 637,089.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,030.10 : 664,029.30 = 424,096.70 : x
  2. Step 2: Convert to fraction form
    442,030.10/664,029.30 = 424,096.70/x
  3. Step 3: Cross multiply
    442,030.10x = 664,029.30 × 424,096.70
  4. Step 4: Simplify right side
    442,030.10x = 281,612,634,833.31
  5. Step 5: Solve for x
    x = 281,612,634,833.31/442,030.10
  6. Step 6: Final answer
    x = 637,089.27

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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.