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Finding the Fourth Proportional to 462,064, 637,650.24 and 250,096

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Solution

The fourth proportional to 462,064, 637,650.24 and 250,096 is: 345,133.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,064 : 637,650.24 = 250,096 : x
  2. Step 2: Convert to fraction form
    462,064/637,650.24 = 250,096/x
  3. Step 3: Cross multiply
    462,064x = 637,650.24 × 250,096
  4. Step 4: Simplify right side
    462,064x = 159,473,774,423.04
  5. Step 5: Solve for x
    x = 159,473,774,423.04/462,064
  6. Step 6: Final answer
    x = 345,133.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.