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Finding the Fourth Proportional to 310,086.30, 465,020.10 and 110,413.20

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Solution

The fourth proportional to 310,086.30, 465,020.10 and 110,413.20 is: 165,580.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,086.30 : 465,020.10 = 110,413.20 : x
  2. Step 2: Convert to fraction form
    310,086.30/465,020.10 = 110,413.20/x
  3. Step 3: Cross multiply
    310,086.30x = 465,020.10 × 110,413.20
  4. Step 4: Simplify right side
    310,086.30x = 51,344,357,305.32
  5. Step 5: Solve for x
    x = 51,344,357,305.32/310,086.30
  6. Step 6: Final answer
    x = 165,580.86

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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.