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Finding the Fourth Proportional to 463,724.76, 695,491.83 and 292,894.41

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Solution

The fourth proportional to 463,724.76, 695,491.83 and 292,894.41 is: 439,281.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,724.76 : 695,491.83 = 292,894.41 : x
  2. Step 2: Convert to fraction form
    463,724.76/695,491.83 = 292,894.41/x
  3. Step 3: Cross multiply
    463,724.76x = 695,491.83 × 292,894.41
  4. Step 4: Simplify right side
    463,724.76x = 203,705,669,207.67
  5. Step 5: Solve for x
    x = 203,705,669,207.67/463,724.76
  6. Step 6: Final answer
    x = 439,281.42

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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.