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Finding the Fourth Proportional to 531,696.02, 733,711.32 and 302,221.40

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Solution

The fourth proportional to 531,696.02, 733,711.32 and 302,221.40 is: 417,048.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,696.02 : 733,711.32 = 302,221.40 : x
  2. Step 2: Convert to fraction form
    531,696.02/733,711.32 = 302,221.40/x
  3. Step 3: Cross multiply
    531,696.02x = 733,711.32 × 302,221.40
  4. Step 4: Simplify right side
    531,696.02x = 221,743,262,326.25
  5. Step 5: Solve for x
    x = 221,743,262,326.25/531,696.02
  6. Step 6: Final answer
    x = 417,048.94

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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.