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Finding the Fourth Proportional to 411,417.70, 617,005.59 and 174,758.50

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Solution

The fourth proportional to 411,417.70, 617,005.59 and 174,758.50 is: 262,086.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,417.70 : 617,005.59 = 174,758.50 : x
  2. Step 2: Convert to fraction form
    411,417.70/617,005.59 = 174,758.50/x
  3. Step 3: Cross multiply
    411,417.70x = 617,005.59 × 174,758.50
  4. Step 4: Simplify right side
    411,417.70x = 107,826,971,400.02
  5. Step 5: Solve for x
    x = 107,826,971,400.02/411,417.70
  6. Step 6: Final answer
    x = 262,086.37

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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.