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Finding the Fourth Proportional to 171,378.72, 257,058.36 and 46,710

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Solution

The fourth proportional to 171,378.72, 257,058.36 and 46,710 is: 70,062.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,378.72 : 257,058.36 = 46,710 : x
  2. Step 2: Convert to fraction form
    171,378.72/257,058.36 = 46,710/x
  3. Step 3: Cross multiply
    171,378.72x = 257,058.36 × 46,710
  4. Step 4: Simplify right side
    171,378.72x = 12,007,195,995.60
  5. Step 5: Solve for x
    x = 12,007,195,995.60/171,378.72
  6. Step 6: Final answer
    x = 70,062.35

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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.