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Finding the Fourth Proportional to 606,715.82, 837,266.84 and 334,783.50

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Solution

The fourth proportional to 606,715.82, 837,266.84 and 334,783.50 is: 462,000.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,715.82 : 837,266.84 = 334,783.50 : x
  2. Step 2: Convert to fraction form
    606,715.82/837,266.84 = 334,783.50/x
  3. Step 3: Cross multiply
    606,715.82x = 837,266.84 × 334,783.50
  4. Step 4: Simplify right side
    606,715.82x = 280,303,123,129.14
  5. Step 5: Solve for x
    x = 280,303,123,129.14/606,715.82
  6. Step 6: Final answer
    x = 462,000.68

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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.