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Finding the Fourth Proportional to 457,038.44, 685,621.48 and 190,737.96

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Solution

The fourth proportional to 457,038.44, 685,621.48 and 190,737.96 is: 286,133.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,038.44 : 685,621.48 = 190,737.96 : x
  2. Step 2: Convert to fraction form
    457,038.44/685,621.48 = 190,737.96/x
  3. Step 3: Cross multiply
    457,038.44x = 685,621.48 × 190,737.96
  4. Step 4: Simplify right side
    457,038.44x = 130,774,042,427.38
  5. Step 5: Solve for x
    x = 130,774,042,427.38/457,038.44
  6. Step 6: Final answer
    x = 286,133.57

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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.