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Finding the Fourth Proportional to 531,196.14, 733,024.58 and 289,477.97

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Solution

The fourth proportional to 531,196.14, 733,024.58 and 289,477.97 is: 399,465.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,196.14 : 733,024.58 = 289,477.97 : x
  2. Step 2: Convert to fraction form
    531,196.14/733,024.58 = 289,477.97/x
  3. Step 3: Cross multiply
    531,196.14x = 733,024.58 × 289,477.97
  4. Step 4: Simplify right side
    531,196.14x = 212,194,462,265.99
  5. Step 5: Solve for x
    x = 212,194,462,265.99/531,196.14
  6. Step 6: Final answer
    x = 399,465.37

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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.