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Finding the Fourth Proportional to 531,683.44, 733,720.32 and 289,961.68

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Solution

The fourth proportional to 531,683.44, 733,720.32 and 289,961.68 is: 400,145.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,683.44 : 733,720.32 = 289,961.68 : x
  2. Step 2: Convert to fraction form
    531,683.44/733,720.32 = 289,961.68/x
  3. Step 3: Cross multiply
    531,683.44x = 733,720.32 × 289,961.68
  4. Step 4: Simplify right side
    531,683.44x = 212,750,776,637.34
  5. Step 5: Solve for x
    x = 212,750,776,637.34/531,683.44
  6. Step 6: Final answer
    x = 400,145.58

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1.5x scale

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.