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Finding the Fourth Proportional to 298,125.72, 411,413.49 and 170,875.12

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Solution

The fourth proportional to 298,125.72, 411,413.49 and 170,875.12 is: 235,807.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,125.72 : 411,413.49 = 170,875.12 : x
  2. Step 2: Convert to fraction form
    298,125.72/411,413.49 = 170,875.12/x
  3. Step 3: Cross multiply
    298,125.72x = 411,413.49 × 170,875.12
  4. Step 4: Simplify right side
    298,125.72x = 70,300,329,473.37
  5. Step 5: Solve for x
    x = 70,300,329,473.37/298,125.72
  6. Step 6: Final answer
    x = 235,807.66

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1.5x scale

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.