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Finding the Fourth Proportional to 614,331.96, 847,782.26 and 342,417.36

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Solution

The fourth proportional to 614,331.96, 847,782.26 and 342,417.36 is: 472,538.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,331.96 : 847,782.26 = 342,417.36 : x
  2. Step 2: Convert to fraction form
    614,331.96/847,782.26 = 342,417.36/x
  3. Step 3: Cross multiply
    614,331.96x = 847,782.26 × 342,417.36
  4. Step 4: Simplify right side
    614,331.96x = 290,295,361,611.95
  5. Step 5: Solve for x
    x = 290,295,361,611.95/614,331.96
  6. Step 6: Final answer
    x = 472,538.27

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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.