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Finding the Fourth Proportional to 462,413.42, 693,604.47 and 162,886.16

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Solution

The fourth proportional to 462,413.42, 693,604.47 and 162,886.16 is: 244,323.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,413.42 : 693,604.47 = 162,886.16 : x
  2. Step 2: Convert to fraction form
    462,413.42/693,604.47 = 162,886.16/x
  3. Step 3: Cross multiply
    462,413.42x = 693,604.47 × 162,886.16
  4. Step 4: Simplify right side
    462,413.42x = 112,978,565,209.11
  5. Step 5: Solve for x
    x = 112,978,565,209.11/462,413.42
  6. Step 6: Final answer
    x = 244,323.72

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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.