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Finding the Fourth Proportional to 288,032.85, 432,049.28 and 242,413.65

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Solution

The fourth proportional to 288,032.85, 432,049.28 and 242,413.65 is: 363,620.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,032.85 : 432,049.28 = 242,413.65 : x
  2. Step 2: Convert to fraction form
    288,032.85/432,049.28 = 242,413.65/x
  3. Step 3: Cross multiply
    288,032.85x = 432,049.28 × 242,413.65
  4. Step 4: Simplify right side
    288,032.85x = 104,734,641,732.60
  5. Step 5: Solve for x
    x = 104,734,641,732.60/288,032.85
  6. Step 6: Final answer
    x = 363,620.48

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1.5x scale

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.