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Finding the Fourth Proportional to 531,643.59, 733,669.38 and 302,202.38

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Solution

The fourth proportional to 531,643.59, 733,669.38 and 302,202.38 is: 417,039.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,643.59 : 733,669.38 = 302,202.38 : x
  2. Step 2: Convert to fraction form
    531,643.59/733,669.38 = 302,202.38/x
  3. Step 3: Cross multiply
    531,643.59x = 733,669.38 × 302,202.38
  4. Step 4: Simplify right side
    531,643.59x = 221,716,632,769.12
  5. Step 5: Solve for x
    x = 221,716,632,769.12/531,643.59
  6. Step 6: Final answer
    x = 417,039.98

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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.