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Finding the Fourth Proportional to 457,257.87, 685,776.51 and 190,873.98

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Solution

The fourth proportional to 457,257.87, 685,776.51 and 190,873.98 is: 286,264.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,257.87 : 685,776.51 = 190,873.98 : x
  2. Step 2: Convert to fraction form
    457,257.87/685,776.51 = 190,873.98/x
  3. Step 3: Cross multiply
    457,257.87x = 685,776.51 × 190,873.98
  4. Step 4: Simplify right side
    457,257.87x = 130,896,891,854.21
  5. Step 5: Solve for x
    x = 130,896,891,854.21/457,257.87
  6. Step 6: Final answer
    x = 286,264.93

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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.