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Finding the Fourth Proportional to 457,592.38, 685,980.33 and 232,827.10

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Solution

The fourth proportional to 457,592.38, 685,980.33 and 232,827.10 is: 349,032.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,592.38 : 685,980.33 = 232,827.10 : x
  2. Step 2: Convert to fraction form
    457,592.38/685,980.33 = 232,827.10/x
  3. Step 3: Cross multiply
    457,592.38x = 685,980.33 × 232,827.10
  4. Step 4: Simplify right side
    457,592.38x = 159,714,810,890.94
  5. Step 5: Solve for x
    x = 159,714,810,890.94/457,592.38
  6. Step 6: Final answer
    x = 349,032.93

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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.