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Finding the Fourth Proportional to 384,029.40, 576,044.10 and 162,413.40

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Solution

The fourth proportional to 384,029.40, 576,044.10 and 162,413.40 is: 243,620.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,029.40 : 576,044.10 = 162,413.40 : x
  2. Step 2: Convert to fraction form
    384,029.40/576,044.10 = 162,413.40/x
  3. Step 3: Cross multiply
    384,029.40x = 576,044.10 × 162,413.40
  4. Step 4: Simplify right side
    384,029.40x = 93,557,280,830.94
  5. Step 5: Solve for x
    x = 93,557,280,830.94/384,029.40
  6. Step 6: Final answer
    x = 243,620.10

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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.