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Finding the Fourth Proportional to 412,312.74, 617,885.91 and 175,416.90

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Solution

The fourth proportional to 412,312.74, 617,885.91 and 175,416.90 is: 262,877.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,312.74 : 617,885.91 = 175,416.90 : x
  2. Step 2: Convert to fraction form
    412,312.74/617,885.91 = 175,416.90/x
  3. Step 3: Cross multiply
    412,312.74x = 617,885.91 × 175,416.90
  4. Step 4: Simplify right side
    412,312.74x = 108,387,630,885.88
  5. Step 5: Solve for x
    x = 108,387,630,885.88/412,312.74
  6. Step 6: Final answer
    x = 262,877.23

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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.