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Finding the Fourth Proportional to 457,603.44, 685,996.80 and 232,838.16

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Solution

The fourth proportional to 457,603.44, 685,996.80 and 232,838.16 is: 349,049.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,603.44 : 685,996.80 = 232,838.16 : x
  2. Step 2: Convert to fraction form
    457,603.44/685,996.80 = 232,838.16/x
  3. Step 3: Cross multiply
    457,603.44x = 685,996.80 × 232,838.16
  4. Step 4: Simplify right side
    457,603.44x = 159,726,232,677.89
  5. Step 5: Solve for x
    x = 159,726,232,677.89/457,603.44
  6. Step 6: Final answer
    x = 349,049.46

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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.