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Finding the Fourth Proportional to 270,275.40, 405,413.10 and 130,048.20

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Solution

The fourth proportional to 270,275.40, 405,413.10 and 130,048.20 is: 195,072.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,275.40 : 405,413.10 = 130,048.20 : x
  2. Step 2: Convert to fraction form
    270,275.40/405,413.10 = 130,048.20/x
  3. Step 3: Cross multiply
    270,275.40x = 405,413.10 × 130,048.20
  4. Step 4: Simplify right side
    270,275.40x = 52,723,243,911.42
  5. Step 5: Solve for x
    x = 52,723,243,911.42/270,275.40
  6. Step 6: Final answer
    x = 195,072.30

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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.