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Finding the Fourth Proportional to 447,178.98, 617,050.92 and 302,299.98

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Solution

The fourth proportional to 447,178.98, 617,050.92 and 302,299.98 is: 417,136.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,178.98 : 617,050.92 = 302,299.98 : x
  2. Step 2: Convert to fraction form
    447,178.98/617,050.92 = 302,299.98/x
  3. Step 3: Cross multiply
    447,178.98x = 617,050.92 × 302,299.98
  4. Step 4: Simplify right side
    447,178.98x = 186,534,480,774.98
  5. Step 5: Solve for x
    x = 186,534,480,774.98/447,178.98
  6. Step 6: Final answer
    x = 417,136.07

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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.