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Finding the Fourth Proportional to 471,809.79, 707,014.85 and 346,538.43

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Solution

The fourth proportional to 471,809.79, 707,014.85 and 346,538.43 is: 519,293.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,809.79 : 707,014.85 = 346,538.43 : x
  2. Step 2: Convert to fraction form
    471,809.79/707,014.85 = 346,538.43/x
  3. Step 3: Cross multiply
    471,809.79x = 707,014.85 × 346,538.43
  4. Step 4: Simplify right side
    471,809.79x = 245,007,815,031.46
  5. Step 5: Solve for x
    x = 245,007,815,031.46/471,809.79
  6. Step 6: Final answer
    x = 519,293.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.