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Finding the Fourth Proportional to 531,681.75, 733,764.50 and 302,311.02

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Solution

The fourth proportional to 531,681.75, 733,764.50 and 302,311.02 is: 417,214.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,681.75 : 733,764.50 = 302,311.02 : x
  2. Step 2: Convert to fraction form
    531,681.75/733,764.50 = 302,311.02/x
  3. Step 3: Cross multiply
    531,681.75x = 733,764.50 × 302,311.02
  4. Step 4: Simplify right side
    531,681.75x = 221,825,094,434.79
  5. Step 5: Solve for x
    x = 221,825,094,434.79/531,681.75
  6. Step 6: Final answer
    x = 417,214.05

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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.