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Finding the Fourth Proportional to 520,704.34, 718,282.81 and 302,888.48

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Solution

The fourth proportional to 520,704.34, 718,282.81 and 302,888.48 is: 417,817.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,704.34 : 718,282.81 = 302,888.48 : x
  2. Step 2: Convert to fraction form
    520,704.34/718,282.81 = 302,888.48/x
  3. Step 3: Cross multiply
    520,704.34x = 718,282.81 × 302,888.48
  4. Step 4: Simplify right side
    520,704.34x = 217,559,584,939.62
  5. Step 5: Solve for x
    x = 217,559,584,939.62/520,704.34
  6. Step 6: Final answer
    x = 417,817.89

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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.