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Finding the Fourth Proportional to 457,314.56, 685,803.36 and 157,718.24

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Solution

The fourth proportional to 457,314.56, 685,803.36 and 157,718.24 is: 236,519.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,314.56 : 685,803.36 = 157,718.24 : x
  2. Step 2: Convert to fraction form
    457,314.56/685,803.36 = 157,718.24/x
  3. Step 3: Cross multiply
    457,314.56x = 685,803.36 × 157,718.24
  4. Step 4: Simplify right side
    457,314.56x = 108,163,698,925.29
  5. Step 5: Solve for x
    x = 108,163,698,925.29/457,314.56
  6. Step 6: Final answer
    x = 236,519.25

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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.