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Finding the Fourth Proportional to 462,533.91, 638,493.58 and 281,304.01

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Solution

The fourth proportional to 462,533.91, 638,493.58 and 281,304.01 is: 388,319.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,533.91 : 638,493.58 = 281,304.01 : x
  2. Step 2: Convert to fraction form
    462,533.91/638,493.58 = 281,304.01/x
  3. Step 3: Cross multiply
    462,533.91x = 638,493.58 × 281,304.01
  4. Step 4: Simplify right side
    462,533.91x = 179,610,804,413.26
  5. Step 5: Solve for x
    x = 179,610,804,413.26/462,533.91
  6. Step 6: Final answer
    x = 388,319.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.