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Finding the Fourth Proportional to 457,312.58, 685,969.14 and 190,927.88

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Solution

The fourth proportional to 457,312.58, 685,969.14 and 190,927.88 is: 286,391.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,312.58 : 685,969.14 = 190,927.88 : x
  2. Step 2: Convert to fraction form
    457,312.58/685,969.14 = 190,927.88/x
  3. Step 3: Cross multiply
    457,312.58x = 685,969.14 × 190,927.88
  4. Step 4: Simplify right side
    457,312.58x = 130,970,633,645.62
  5. Step 5: Solve for x
    x = 130,970,633,645.62/457,312.58
  6. Step 6: Final answer
    x = 286,391.93

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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.