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Finding the Fourth Proportional to 705,175.50, 973,228.26 and 414,773.22

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Solution

The fourth proportional to 705,175.50, 973,228.26 and 414,773.22 is: 572,437.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,175.50 : 973,228.26 = 414,773.22 : x
  2. Step 2: Convert to fraction form
    705,175.50/973,228.26 = 414,773.22/x
  3. Step 3: Cross multiply
    705,175.50x = 973,228.26 × 414,773.22
  4. Step 4: Simplify right side
    705,175.50x = 403,669,024,400.20
  5. Step 5: Solve for x
    x = 403,669,024,400.20/705,175.50
  6. Step 6: Final answer
    x = 572,437.67

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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.