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Finding the Fourth Proportional to 531,193.79, 733,026.10 and 289,471.21

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Solution

The fourth proportional to 531,193.79, 733,026.10 and 289,471.21 is: 399,458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,193.79 : 733,026.10 = 289,471.21 : x
  2. Step 2: Convert to fraction form
    531,193.79/733,026.10 = 289,471.21/x
  3. Step 3: Cross multiply
    531,193.79x = 733,026.10 × 289,471.21
  4. Step 4: Simplify right side
    531,193.79x = 212,189,949,300.96
  5. Step 5: Solve for x
    x = 212,189,949,300.96/531,193.79
  6. Step 6: Final answer
    x = 399,458.64

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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.