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Finding the Fourth Proportional to 520,857.86, 718,799.01 and 294,498.50

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Solution

The fourth proportional to 520,857.86, 718,799.01 and 294,498.50 is: 406,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,857.86 : 718,799.01 = 294,498.50 : x
  2. Step 2: Convert to fraction form
    520,857.86/718,799.01 = 294,498.50/x
  3. Step 3: Cross multiply
    520,857.86x = 718,799.01 × 294,498.50
  4. Step 4: Simplify right side
    520,857.86x = 211,685,230,246.49
  5. Step 5: Solve for x
    x = 211,685,230,246.49/520,857.86
  6. Step 6: Final answer
    x = 406,416.50

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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.