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Finding the Fourth Proportional to 411,756.79, 617,384.89 and 171,580.45

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Solution

The fourth proportional to 411,756.79, 617,384.89 and 171,580.45 is: 257,266.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,756.79 : 617,384.89 = 171,580.45 : x
  2. Step 2: Convert to fraction form
    411,756.79/617,384.89 = 171,580.45/x
  3. Step 3: Cross multiply
    411,756.79x = 617,384.89 × 171,580.45
  4. Step 4: Simplify right side
    411,756.79x = 105,931,177,249.40
  5. Step 5: Solve for x
    x = 105,931,177,249.40/411,756.79
  6. Step 6: Final answer
    x = 257,266.38

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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.