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Finding the Fourth Proportional to 531,680.72, 733,690.10 and 302,206.10

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Solution

The fourth proportional to 531,680.72, 733,690.10 and 302,206.10 is: 417,027.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,680.72 : 733,690.10 = 302,206.10 : x
  2. Step 2: Convert to fraction form
    531,680.72/733,690.10 = 302,206.10/x
  3. Step 3: Cross multiply
    531,680.72x = 733,690.10 × 302,206.10
  4. Step 4: Simplify right side
    531,680.72x = 221,725,623,729.61
  5. Step 5: Solve for x
    x = 221,725,623,729.61/531,680.72
  6. Step 6: Final answer
    x = 417,027.77

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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.