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Finding the Fourth Proportional to 452,901.42, 679,546.13 and 153,413.64

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Solution

The fourth proportional to 452,901.42, 679,546.13 and 153,413.64 is: 230,186.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,901.42 : 679,546.13 = 153,413.64 : x
  2. Step 2: Convert to fraction form
    452,901.42/679,546.13 = 153,413.64/x
  3. Step 3: Cross multiply
    452,901.42x = 679,546.13 × 153,413.64
  4. Step 4: Simplify right side
    452,901.42x = 104,251,644,584.15
  5. Step 5: Solve for x
    x = 104,251,644,584.15/452,901.42
  6. Step 6: Final answer
    x = 230,186.17

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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.